Finding the Third Proportional to 29,754 and 65,028

Step by Step Solution

1. Step 1: Write the proportion equation
   29,754 : 65,028 = 65,028 : x
2. Step 2: Convert to fraction form
   29,754/65,028 = 65,028/x
3. Step 3: Cross multiply
   29,754x = 65,028 × 65,028
4. Step 4: Simplify right side
   29,754x = 4,228,640,784
5. Step 5: Solve for x
   x = 4,228,640,784/29,754
6. Step 6: Final answer
   x = 142,120.08