Finding the Third Proportional to 1,200.38 and 1,558.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.38 : 1,558.13 = 1,558.13 : x
2. Step 2: Convert to fraction form
   1,200.38/1,558.13 = 1,558.13/x
3. Step 3: Cross multiply
   1,200.38x = 1,558.13 × 1,558.13
4. Step 4: Simplify right side
   1,200.38x = 2,427,753.52
5. Step 5: Solve for x
   x = 2,427,753.52/1,200.38
6. Step 6: Final answer
   x = 2,022.50