Finding the Third Proportional to 25,677 and 55,188

Step by Step Solution

1. Step 1: Write the proportion equation
   25,677 : 55,188 = 55,188 : x
2. Step 2: Convert to fraction form
   25,677/55,188 = 55,188/x
3. Step 3: Cross multiply
   25,677x = 55,188 × 55,188
4. Step 4: Simplify right side
   25,677x = 3,045,715,344
5. Step 5: Solve for x
   x = 3,045,715,344/25,677
6. Step 6: Final answer
   x = 118,616.48