Finding the Third Proportional to 2,532 and 5,842

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532 : 5,842 = 5,842 : x
2. Step 2: Convert to fraction form
   2,532/5,842 = 5,842/x
3. Step 3: Cross multiply
   2,532x = 5,842 × 5,842
4. Step 4: Simplify right side
   2,532x = 34,128,964
5. Step 5: Solve for x
   x = 34,128,964/2,532
6. Step 6: Final answer
   x = 13,479.05