Finding the Third Proportional to 25,641 and 55,382.63

Step by Step Solution

1. Step 1: Write the proportion equation
   25,641 : 55,382.63 = 55,382.63 : x
2. Step 2: Convert to fraction form
   25,641/55,382.63 = 55,382.63/x
3. Step 3: Cross multiply
   25,641x = 55,382.63 × 55,382.63
4. Step 4: Simplify right side
   25,641x = 3,067,235,151.89
5. Step 5: Solve for x
   x = 3,067,235,151.89/25,641
6. Step 6: Final answer
   x = 119,622.29