Finding the Third Proportional to 8,037 and 10,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,037 : 10,471.50 = 10,471.50 : x
2. Step 2: Convert to fraction form
   8,037/10,471.50 = 10,471.50/x
3. Step 3: Cross multiply
   8,037x = 10,471.50 × 10,471.50
4. Step 4: Simplify right side
   8,037x = 109,652,312.25
5. Step 5: Solve for x
   x = 109,652,312.25/8,037
6. Step 6: Final answer
   x = 13,643.44