Finding the Third Proportional to 53,859.15 and 81,538.37

Step by Step Solution

1. Step 1: Write the proportion equation
   53,859.15 : 81,538.37 = 81,538.37 : x
2. Step 2: Convert to fraction form
   53,859.15/81,538.37 = 81,538.37/x
3. Step 3: Cross multiply
   53,859.15x = 81,538.37 × 81,538.37
4. Step 4: Simplify right side
   53,859.15x = 6,648,505,005.09
5. Step 5: Solve for x
   x = 6,648,505,005.09/53,859.15
6. Step 6: Final answer
   x = 123,442.45