Finding the Third Proportional to 792 and 2,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   792 : 2,029.50 = 2,029.50 : x
2. Step 2: Convert to fraction form
   792/2,029.50 = 2,029.50/x
3. Step 3: Cross multiply
   792x = 2,029.50 × 2,029.50
4. Step 4: Simplify right side
   792x = 4,118,870.25
5. Step 5: Solve for x
   x = 4,118,870.25/792
6. Step 6: Final answer
   x = 5,200.59