Finding the Third Proportional to 1,038.94 and 1,562.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.94 : 1,562.53 = 1,562.53 : x
2. Step 2: Convert to fraction form
   1,038.94/1,562.53 = 1,562.53/x
3. Step 3: Cross multiply
   1,038.94x = 1,562.53 × 1,562.53
4. Step 4: Simplify right side
   1,038.94x = 2,441,503.91
5. Step 5: Solve for x
   x = 2,441,503.91/1,038.94
6. Step 6: Final answer
   x = 2,350.00