Finding the Third Proportional to 54,391.50 and 86,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,391.50 : 86,827.50 = 86,827.50 : x
2. Step 2: Convert to fraction form
   54,391.50/86,827.50 = 86,827.50/x
3. Step 3: Cross multiply
   54,391.50x = 86,827.50 × 86,827.50
4. Step 4: Simplify right side
   54,391.50x = 7,539,014,756.25
5. Step 5: Solve for x
   x = 7,539,014,756.25/54,391.50
6. Step 6: Final answer
   x = 138,606.49