Finding the Third Proportional to 31,068 and 66,510

Step by Step Solution

1. Step 1: Write the proportion equation
   31,068 : 66,510 = 66,510 : x
2. Step 2: Convert to fraction form
   31,068/66,510 = 66,510/x
3. Step 3: Cross multiply
   31,068x = 66,510 × 66,510
4. Step 4: Simplify right side
   31,068x = 4,423,580,100
5. Step 5: Solve for x
   x = 4,423,580,100/31,068
6. Step 6: Final answer
   x = 142,383.81