Finding the Third Proportional to 6,633 and 10,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,633 : 10,162.50 = 10,162.50 : x
2. Step 2: Convert to fraction form
   6,633/10,162.50 = 10,162.50/x
3. Step 3: Cross multiply
   6,633x = 10,162.50 × 10,162.50
4. Step 4: Simplify right side
   6,633x = 103,276,406.25
5. Step 5: Solve for x
   x = 103,276,406.25/6,633
6. Step 6: Final answer
   x = 15,570.09