Finding the Third Proportional to 762.33 and 1,664.72

Step by Step Solution

1. Step 1: Write the proportion equation
   762.33 : 1,664.72 = 1,664.72 : x
2. Step 2: Convert to fraction form
   762.33/1,664.72 = 1,664.72/x
3. Step 3: Cross multiply
   762.33x = 1,664.72 × 1,664.72
4. Step 4: Simplify right side
   762.33x = 2,771,288.52
5. Step 5: Solve for x
   x = 2,771,288.52/762.33
6. Step 6: Final answer
   x = 3,635.30