Finding the Third Proportional to 5,836.13 and 12,492.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836.13 : 12,492.38 = 12,492.38 : x
2. Step 2: Convert to fraction form
   5,836.13/12,492.38 = 12,492.38/x
3. Step 3: Cross multiply
   5,836.13x = 12,492.38 × 12,492.38
4. Step 4: Simplify right side
   5,836.13x = 156,059,433.14
5. Step 5: Solve for x
   x = 156,059,433.14/5,836.13
6. Step 6: Final answer
   x = 26,740.25