Finding the Third Proportional to 53,354.25 and 77,277.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53,354.25 : 77,277.38 = 77,277.38 : x
2. Step 2: Convert to fraction form
   53,354.25/77,277.38 = 77,277.38/x
3. Step 3: Cross multiply
   53,354.25x = 77,277.38 × 77,277.38
4. Step 4: Simplify right side
   53,354.25x = 5,971,792,686.89
5. Step 5: Solve for x
   x = 5,971,792,686.89/53,354.25
6. Step 6: Final answer
   x = 111,927.22