Finding the Third Proportional to 847.69 and 1,876.78

Step by Step Solution

1. Step 1: Write the proportion equation
   847.69 : 1,876.78 = 1,876.78 : x
2. Step 2: Convert to fraction form
   847.69/1,876.78 = 1,876.78/x
3. Step 3: Cross multiply
   847.69x = 1,876.78 × 1,876.78
4. Step 4: Simplify right side
   847.69x = 3,522,307.86
5. Step 5: Solve for x
   x = 3,522,307.86/847.69
6. Step 6: Final answer
   x = 4,155.20