Finding the Third Proportional to 17,678.50 and 38,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678.50 : 38,124.50 = 38,124.50 : x
2. Step 2: Convert to fraction form
   17,678.50/38,124.50 = 38,124.50/x
3. Step 3: Cross multiply
   17,678.50x = 38,124.50 × 38,124.50
4. Step 4: Simplify right side
   17,678.50x = 1,453,477,500.25
5. Step 5: Solve for x
   x = 1,453,477,500.25/17,678.50
6. Step 6: Final answer
   x = 82,217.24