Finding the Third Proportional to 17,647.50 and 38,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,647.50 : 38,793.50 = 38,793.50 : x
2. Step 2: Convert to fraction form
   17,647.50/38,793.50 = 38,793.50/x
3. Step 3: Cross multiply
   17,647.50x = 38,793.50 × 38,793.50
4. Step 4: Simplify right side
   17,647.50x = 1,504,935,642.25
5. Step 5: Solve for x
   x = 1,504,935,642.25/17,647.50
6. Step 6: Final answer
   x = 85,277.55