Finding the Third Proportional to 1,050.47 and 1,650.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.47 : 1,650.80 = 1,650.80 : x
2. Step 2: Convert to fraction form
   1,050.47/1,650.80 = 1,650.80/x
3. Step 3: Cross multiply
   1,050.47x = 1,650.80 × 1,650.80
4. Step 4: Simplify right side
   1,050.47x = 2,725,130.32
5. Step 5: Solve for x
   x = 2,725,130.32/1,050.47
6. Step 6: Final answer
   x = 2,594.20