Finding the Third Proportional to 9,082.13 and 12,992.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,082.13 : 12,992.91 = 12,992.91 : x
2. Step 2: Convert to fraction form
   9,082.13/12,992.91 = 12,992.91/x
3. Step 3: Cross multiply
   9,082.13x = 12,992.91 × 12,992.91
4. Step 4: Simplify right side
   9,082.13x = 168,815,612.82
5. Step 5: Solve for x
   x = 168,815,612.82/9,082.13
6. Step 6: Final answer
   x = 18,587.68