Finding the Third Proportional to 27,402 and 58,680

Step by Step Solution

1. Step 1: Write the proportion equation
   27,402 : 58,680 = 58,680 : x
2. Step 2: Convert to fraction form
   27,402/58,680 = 58,680/x
3. Step 3: Cross multiply
   27,402x = 58,680 × 58,680
4. Step 4: Simplify right side
   27,402x = 3,443,342,400
5. Step 5: Solve for x
   x = 3,443,342,400/27,402
6. Step 6: Final answer
   x = 125,660.26