Finding the Third Proportional to 53,829.75 and 77,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,829.75 : 77,053.50 = 77,053.50 : x
2. Step 2: Convert to fraction form
   53,829.75/77,053.50 = 77,053.50/x
3. Step 3: Cross multiply
   53,829.75x = 77,053.50 × 77,053.50
4. Step 4: Simplify right side
   53,829.75x = 5,937,241,862.25
5. Step 5: Solve for x
   x = 5,937,241,862.25/53,829.75
6. Step 6: Final answer
   x = 110,296.66