Finding the Third Proportional to 38,683.50 and 84,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,683.50 : 84,657.50 = 84,657.50 : x
2. Step 2: Convert to fraction form
   38,683.50/84,657.50 = 84,657.50/x
3. Step 3: Cross multiply
   38,683.50x = 84,657.50 × 84,657.50
4. Step 4: Simplify right side
   38,683.50x = 7,166,892,306.25
5. Step 5: Solve for x
   x = 7,166,892,306.25/38,683.50
6. Step 6: Final answer
   x = 185,270.01