Finding the Third Proportional to 55,728 and 81,810

Step by Step Solution

1. Step 1: Write the proportion equation
   55,728 : 81,810 = 81,810 : x
2. Step 2: Convert to fraction form
   55,728/81,810 = 81,810/x
3. Step 3: Cross multiply
   55,728x = 81,810 × 81,810
4. Step 4: Simplify right side
   55,728x = 6,692,876,100
5. Step 5: Solve for x
   x = 6,692,876,100/55,728
6. Step 6: Final answer
   x = 120,098.98