Finding the Third Proportional to 3,162 and 7,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,162 : 7,387.50 = 7,387.50 : x
2. Step 2: Convert to fraction form
   3,162/7,387.50 = 7,387.50/x
3. Step 3: Cross multiply
   3,162x = 7,387.50 × 7,387.50
4. Step 4: Simplify right side
   3,162x = 54,575,156.25
5. Step 5: Solve for x
   x = 54,575,156.25/3,162
6. Step 6: Final answer
   x = 17,259.70