Finding the Third Proportional to 17,978.50 and 39,237.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,978.50 : 39,237.75 = 39,237.75 : x
2. Step 2: Convert to fraction form
   17,978.50/39,237.75 = 39,237.75/x
3. Step 3: Cross multiply
   17,978.50x = 39,237.75 × 39,237.75
4. Step 4: Simplify right side
   17,978.50x = 1,539,601,025.06
5. Step 5: Solve for x
   x = 1,539,601,025.06/17,978.50
6. Step 6: Final answer
   x = 85,635.68