Finding the Third Proportional to 39,261.50 and 86,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,261.50 : 86,298.50 = 86,298.50 : x
2. Step 2: Convert to fraction form
   39,261.50/86,298.50 = 86,298.50/x
3. Step 3: Cross multiply
   39,261.50x = 86,298.50 × 86,298.50
4. Step 4: Simplify right side
   39,261.50x = 7,447,431,102.25
5. Step 5: Solve for x
   x = 7,447,431,102.25/39,261.50
6. Step 6: Final answer
   x = 189,687.89