Finding the Third Proportional to 31,916 and 69,361

Step by Step Solution

1. Step 1: Write the proportion equation
   31,916 : 69,361 = 69,361 : x
2. Step 2: Convert to fraction form
   31,916/69,361 = 69,361/x
3. Step 3: Cross multiply
   31,916x = 69,361 × 69,361
4. Step 4: Simplify right side
   31,916x = 4,810,948,321
5. Step 5: Solve for x
   x = 4,810,948,321/31,916
6. Step 6: Final answer
   x = 150,737.82