Finding the Third Proportional to 31,791 and 69,045

Step by Step Solution

1. Step 1: Write the proportion equation
   31,791 : 69,045 = 69,045 : x
2. Step 2: Convert to fraction form
   31,791/69,045 = 69,045/x
3. Step 3: Cross multiply
   31,791x = 69,045 × 69,045
4. Step 4: Simplify right side
   31,791x = 4,767,212,025
5. Step 5: Solve for x
   x = 4,767,212,025/31,791
6. Step 6: Final answer
   x = 149,954.77