Finding the Third Proportional to 53,986.50 and 86,251.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,986.50 : 86,251.50 = 86,251.50 : x
2. Step 2: Convert to fraction form
   53,986.50/86,251.50 = 86,251.50/x
3. Step 3: Cross multiply
   53,986.50x = 86,251.50 × 86,251.50
4. Step 4: Simplify right side
   53,986.50x = 7,439,321,252.25
5. Step 5: Solve for x
   x = 7,439,321,252.25/53,986.50
6. Step 6: Final answer
   x = 137,799.66