Finding the Third Proportional to 6,038 and 12,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,038 : 12,732.50 = 12,732.50 : x
2. Step 2: Convert to fraction form
   6,038/12,732.50 = 12,732.50/x
3. Step 3: Cross multiply
   6,038x = 12,732.50 × 12,732.50
4. Step 4: Simplify right side
   6,038x = 162,116,556.25
5. Step 5: Solve for x
   x = 162,116,556.25/6,038
6. Step 6: Final answer
   x = 26,849.38