Finding the Third Proportional to 27,376 and 59,096

Step by Step Solution

1. Step 1: Write the proportion equation
   27,376 : 59,096 = 59,096 : x
2. Step 2: Convert to fraction form
   27,376/59,096 = 59,096/x
3. Step 3: Cross multiply
   27,376x = 59,096 × 59,096
4. Step 4: Simplify right side
   27,376x = 3,492,337,216
5. Step 5: Solve for x
   x = 3,492,337,216/27,376
6. Step 6: Final answer
   x = 127,569.30