Finding the Third Proportional to 25,114 and 55,735

Step by Step Solution

1. Step 1: Write the proportion equation
   25,114 : 55,735 = 55,735 : x
2. Step 2: Convert to fraction form
   25,114/55,735 = 55,735/x
3. Step 3: Cross multiply
   25,114x = 55,735 × 55,735
4. Step 4: Simplify right side
   25,114x = 3,106,390,225
5. Step 5: Solve for x
   x = 3,106,390,225/25,114
6. Step 6: Final answer
   x = 123,691.58