Finding the Third Proportional to 34,617 and 72,878

Step by Step Solution

1. Step 1: Write the proportion equation
   34,617 : 72,878 = 72,878 : x
2. Step 2: Convert to fraction form
   34,617/72,878 = 72,878/x
3. Step 3: Cross multiply
   34,617x = 72,878 × 72,878
4. Step 4: Simplify right side
   34,617x = 5,311,202,884
5. Step 5: Solve for x
   x = 5,311,202,884/34,617
6. Step 6: Final answer
   x = 153,427.59