Finding the Third Proportional to 53,949 and 86,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,949 : 86,593.50 = 86,593.50 : x
2. Step 2: Convert to fraction form
   53,949/86,593.50 = 86,593.50/x
3. Step 3: Cross multiply
   53,949x = 86,593.50 × 86,593.50
4. Step 4: Simplify right side
   53,949x = 7,498,434,242.25
5. Step 5: Solve for x
   x = 7,498,434,242.25/53,949
6. Step 6: Final answer
   x = 138,991.16