Finding the Third Proportional to 25,606 and 55,370

Step by Step Solution

1. Step 1: Write the proportion equation
   25,606 : 55,370 = 55,370 : x
2. Step 2: Convert to fraction form
   25,606/55,370 = 55,370/x
3. Step 3: Cross multiply
   25,606x = 55,370 × 55,370
4. Step 4: Simplify right side
   25,606x = 3,065,836,900
5. Step 5: Solve for x
   x = 3,065,836,900/25,606
6. Step 6: Final answer
   x = 119,731.19