Finding the Third Proportional to 39,986.25 and 85,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,986.25 : 85,507.50 = 85,507.50 : x
2. Step 2: Convert to fraction form
   39,986.25/85,507.50 = 85,507.50/x
3. Step 3: Cross multiply
   39,986.25x = 85,507.50 × 85,507.50
4. Step 4: Simplify right side
   39,986.25x = 7,311,532,556.25
5. Step 5: Solve for x
   x = 7,311,532,556.25/39,986.25
6. Step 6: Final answer
   x = 182,851.17