Finding the Third Proportional to 38,682 and 83,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,682 : 83,677.50 = 83,677.50 : x
2. Step 2: Convert to fraction form
   38,682/83,677.50 = 83,677.50/x
3. Step 3: Cross multiply
   38,682x = 83,677.50 × 83,677.50
4. Step 4: Simplify right side
   38,682x = 7,001,924,006.25
5. Step 5: Solve for x
   x = 7,001,924,006.25/38,682
6. Step 6: Final answer
   x = 181,012.46