Finding the Third Proportional to 31,566 and 68,052

Step by Step Solution

1. Step 1: Write the proportion equation
   31,566 : 68,052 = 68,052 : x
2. Step 2: Convert to fraction form
   31,566/68,052 = 68,052/x
3. Step 3: Cross multiply
   31,566x = 68,052 × 68,052
4. Step 4: Simplify right side
   31,566x = 4,631,074,704
5. Step 5: Solve for x
   x = 4,631,074,704/31,566
6. Step 6: Final answer
   x = 146,710.85