Finding the Third Proportional to 12,078 and 26,500

Step by Step Solution

1. Step 1: Write the proportion equation
   12,078 : 26,500 = 26,500 : x
2. Step 2: Convert to fraction form
   12,078/26,500 = 26,500/x
3. Step 3: Cross multiply
   12,078x = 26,500 × 26,500
4. Step 4: Simplify right side
   12,078x = 702,250,000
5. Step 5: Solve for x
   x = 702,250,000/12,078
6. Step 6: Final answer
   x = 58,142.90