Finding the Third Proportional to 1,029.88 and 1,552.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.88 : 1,552.13 = 1,552.13 : x
2. Step 2: Convert to fraction form
   1,029.88/1,552.13 = 1,552.13/x
3. Step 3: Cross multiply
   1,029.88x = 1,552.13 × 1,552.13
4. Step 4: Simplify right side
   1,029.88x = 2,409,092.02
5. Step 5: Solve for x
   x = 2,409,092.02/1,029.88
6. Step 6: Final answer
   x = 2,339.21