Finding the Third Proportional to 7,038 and 10,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,038 : 10,585.50 = 10,585.50 : x
2. Step 2: Convert to fraction form
   7,038/10,585.50 = 10,585.50/x
3. Step 3: Cross multiply
   7,038x = 10,585.50 × 10,585.50
4. Step 4: Simplify right side
   7,038x = 112,052,810.25
5. Step 5: Solve for x
   x = 112,052,810.25/7,038
6. Step 6: Final answer
   x = 15,921.12