Finding the Third Proportional to 39,827.25 and 86,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,827.25 : 86,107.50 = 86,107.50 : x
2. Step 2: Convert to fraction form
   39,827.25/86,107.50 = 86,107.50/x
3. Step 3: Cross multiply
   39,827.25x = 86,107.50 × 86,107.50
4. Step 4: Simplify right side
   39,827.25x = 7,414,501,556.25
5. Step 5: Solve for x
   x = 7,414,501,556.25/39,827.25
6. Step 6: Final answer
   x = 186,166.55