Finding the Third Proportional to 25,638 and 55,113

Step by Step Solution

1. Step 1: Write the proportion equation
   25,638 : 55,113 = 55,113 : x
2. Step 2: Convert to fraction form
   25,638/55,113 = 55,113/x
3. Step 3: Cross multiply
   25,638x = 55,113 × 55,113
4. Step 4: Simplify right side
   25,638x = 3,037,442,769
5. Step 5: Solve for x
   x = 3,037,442,769/25,638
6. Step 6: Final answer
   x = 118,474.25