Finding the Third Proportional to 21,116 and 31,761

Step by Step Solution

1. Step 1: Write the proportion equation
   21,116 : 31,761 = 31,761 : x
2. Step 2: Convert to fraction form
   21,116/31,761 = 31,761/x
3. Step 3: Cross multiply
   21,116x = 31,761 × 31,761
4. Step 4: Simplify right side
   21,116x = 1,008,761,121
5. Step 5: Solve for x
   x = 1,008,761,121/21,116
6. Step 6: Final answer
   x = 47,772.36