Finding the Third Proportional to 17,677.50 and 38,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677.50 : 38,122.50 = 38,122.50 : x
2. Step 2: Convert to fraction form
   17,677.50/38,122.50 = 38,122.50/x
3. Step 3: Cross multiply
   17,677.50x = 38,122.50 × 38,122.50
4. Step 4: Simplify right side
   17,677.50x = 1,453,325,006.25
5. Step 5: Solve for x
   x = 1,453,325,006.25/17,677.50
6. Step 6: Final answer
   x = 82,213.27