Finding the Third Proportional to 53,822.81 and 77,042.81

Step by Step Solution

1. Step 1: Write the proportion equation
   53,822.81 : 77,042.81 = 77,042.81 : x
2. Step 2: Convert to fraction form
   53,822.81/77,042.81 = 77,042.81/x
3. Step 3: Cross multiply
   53,822.81x = 77,042.81 × 77,042.81
4. Step 4: Simplify right side
   53,822.81x = 5,935,594,957.91
5. Step 5: Solve for x
   x = 5,935,594,957.91/53,822.81
6. Step 6: Final answer
   x = 110,280.28