Finding the Third Proportional to 31,776 and 69,592

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776 : 69,592 = 69,592 : x
2. Step 2: Convert to fraction form
   31,776/69,592 = 69,592/x
3. Step 3: Cross multiply
   31,776x = 69,592 × 69,592
4. Step 4: Simplify right side
   31,776x = 4,843,046,464
5. Step 5: Solve for x
   x = 4,843,046,464/31,776
6. Step 6: Final answer
   x = 152,412.09