Finding the Third Proportional to 39,765.50 and 86,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,765.50 : 86,528.50 = 86,528.50 : x
2. Step 2: Convert to fraction form
   39,765.50/86,528.50 = 86,528.50/x
3. Step 3: Cross multiply
   39,765.50x = 86,528.50 × 86,528.50
4. Step 4: Simplify right side
   39,765.50x = 7,487,181,312.25
5. Step 5: Solve for x
   x = 7,487,181,312.25/39,765.50
6. Step 6: Final answer
   x = 188,283.34