Finding the Third Proportional to 29,629.50 and 65,820

Step by Step Solution

1. Step 1: Write the proportion equation
   29,629.50 : 65,820 = 65,820 : x
2. Step 2: Convert to fraction form
   29,629.50/65,820 = 65,820/x
3. Step 3: Cross multiply
   29,629.50x = 65,820 × 65,820
4. Step 4: Simplify right side
   29,629.50x = 4,332,272,400
5. Step 5: Solve for x
   x = 4,332,272,400/29,629.50
6. Step 6: Final answer
   x = 146,214.83