Finding the Third Proportional to 38,643.75 and 84,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,643.75 : 84,658.50 = 84,658.50 : x
2. Step 2: Convert to fraction form
   38,643.75/84,658.50 = 84,658.50/x
3. Step 3: Cross multiply
   38,643.75x = 84,658.50 × 84,658.50
4. Step 4: Simplify right side
   38,643.75x = 7,167,061,622.25
5. Step 5: Solve for x
   x = 7,167,061,622.25/38,643.75
6. Step 6: Final answer
   x = 185,464.96