Finding the Third Proportional to 762.06 and 1,633.61

Step by Step Solution

1. Step 1: Write the proportion equation
   762.06 : 1,633.61 = 1,633.61 : x
2. Step 2: Convert to fraction form
   762.06/1,633.61 = 1,633.61/x
3. Step 3: Cross multiply
   762.06x = 1,633.61 × 1,633.61
4. Step 4: Simplify right side
   762.06x = 2,668,666.83
5. Step 5: Solve for x
   x = 2,668,666.83/762.06
6. Step 6: Final answer
   x = 3,501.89