Finding the Third Proportional to 30,229.29 and 65,635.63

Step by Step Solution

1. Step 1: Write the proportion equation
   30,229.29 : 65,635.63 = 65,635.63 : x
2. Step 2: Convert to fraction form
   30,229.29/65,635.63 = 65,635.63/x
3. Step 3: Cross multiply
   30,229.29x = 65,635.63 × 65,635.63
4. Step 4: Simplify right side
   30,229.29x = 4,308,035,781.92
5. Step 5: Solve for x
   x = 4,308,035,781.92/30,229.29
6. Step 6: Final answer
   x = 142,511.95