Finding the Third Proportional to 2,665 and 4,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665 : 4,471.50 = 4,471.50 : x
2. Step 2: Convert to fraction form
   2,665/4,471.50 = 4,471.50/x
3. Step 3: Cross multiply
   2,665x = 4,471.50 × 4,471.50
4. Step 4: Simplify right side
   2,665x = 19,994,312.25
5. Step 5: Solve for x
   x = 19,994,312.25/2,665
6. Step 6: Final answer
   x = 7,502.56