Finding the Third Proportional to 17,977.50 and 39,234.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,977.50 : 39,234.75 = 39,234.75 : x
2. Step 2: Convert to fraction form
   17,977.50/39,234.75 = 39,234.75/x
3. Step 3: Cross multiply
   17,977.50x = 39,234.75 × 39,234.75
4. Step 4: Simplify right side
   17,977.50x = 1,539,365,607.56
5. Step 5: Solve for x
   x = 1,539,365,607.56/17,977.50
6. Step 6: Final answer
   x = 85,627.35