Finding the Third Proportional to 1,007.86 and 2,197.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.86 : 2,197.55 = 2,197.55 : x
2. Step 2: Convert to fraction form
   1,007.86/2,197.55 = 2,197.55/x
3. Step 3: Cross multiply
   1,007.86x = 2,197.55 × 2,197.55
4. Step 4: Simplify right side
   1,007.86x = 4,829,212.27
5. Step 5: Solve for x
   x = 4,829,212.27/1,007.86
6. Step 6: Final answer
   x = 4,791.55