Finding the Third Proportional to 25,096 and 35,124

Step by Step Solution

1. Step 1: Write the proportion equation
   25,096 : 35,124 = 35,124 : x
2. Step 2: Convert to fraction form
   25,096/35,124 = 35,124/x
3. Step 3: Cross multiply
   25,096x = 35,124 × 35,124
4. Step 4: Simplify right side
   25,096x = 1,233,695,376
5. Step 5: Solve for x
   x = 1,233,695,376/25,096
6. Step 6: Final answer
   x = 49,159.04