Finding the Third Proportional to 1,007.86 and 1,575.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.86 : 1,575.07 = 1,575.07 : x
2. Step 2: Convert to fraction form
   1,007.86/1,575.07 = 1,575.07/x
3. Step 3: Cross multiply
   1,007.86x = 1,575.07 × 1,575.07
4. Step 4: Simplify right side
   1,007.86x = 2,480,846.49
5. Step 5: Solve for x
   x = 2,480,846.49/1,007.86
6. Step 6: Final answer
   x = 2,461.50