Finding the Third Proportional to 31,472 and 69,938

Step by Step Solution

1. Step 1: Write the proportion equation
   31,472 : 69,938 = 69,938 : x
2. Step 2: Convert to fraction form
   31,472/69,938 = 69,938/x
3. Step 3: Cross multiply
   31,472x = 69,938 × 69,938
4. Step 4: Simplify right side
   31,472x = 4,891,323,844
5. Step 5: Solve for x
   x = 4,891,323,844/31,472
6. Step 6: Final answer
   x = 155,418.27