Finding the Third Proportional to 25,866 and 55,124

Step by Step Solution

1. Step 1: Write the proportion equation
   25,866 : 55,124 = 55,124 : x
2. Step 2: Convert to fraction form
   25,866/55,124 = 55,124/x
3. Step 3: Cross multiply
   25,866x = 55,124 × 55,124
4. Step 4: Simplify right side
   25,866x = 3,038,655,376
5. Step 5: Solve for x
   x = 3,038,655,376/25,866
6. Step 6: Final answer
   x = 117,476.82