Finding the Third Proportional to 38,635.50 and 84,651.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,635.50 : 84,651.75 = 84,651.75 : x
2. Step 2: Convert to fraction form
   38,635.50/84,651.75 = 84,651.75/x
3. Step 3: Cross multiply
   38,635.50x = 84,651.75 × 84,651.75
4. Step 4: Simplify right side
   38,635.50x = 7,165,918,778.06
5. Step 5: Solve for x
   x = 7,165,918,778.06/38,635.50
6. Step 6: Final answer
   x = 185,474.98