Finding the Third Proportional to 1,538,209,916,296 and 2,261,236,813,976

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538,209,916,296 : 2,261,236,813,976 = 2,261,236,813,976 : x
2. Step 2: Convert to fraction form
   1,538,209,916,296/2,261,236,813,976 = 2,261,236,813,976/x
3. Step 3: Cross multiply
   1,538,209,916,296x = 2,261,236,813,976 × 2,261,236,813,976
4. Step 4: Simplify right side
   1,538,209,916,296x = 5,113,191,928,880,331,447,336,960
5. Step 5: Solve for x
   x = 5,113,191,928,880,331,447,336,960/1,538,209,916,296
6. Step 6: Final answer
   x = 3,324,118,427,992.50