Finding the Third Proportional to 27,842 and 58,600

Step by Step Solution

1. Step 1: Write the proportion equation
   27,842 : 58,600 = 58,600 : x
2. Step 2: Convert to fraction form
   27,842/58,600 = 58,600/x
3. Step 3: Cross multiply
   27,842x = 58,600 × 58,600
4. Step 4: Simplify right side
   27,842x = 3,433,960,000
5. Step 5: Solve for x
   x = 3,433,960,000/27,842
6. Step 6: Final answer
   x = 123,337.40