Finding the Third Proportional to 1,216.41 and 1,876.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.41 : 1,876.78 = 1,876.78 : x
2. Step 2: Convert to fraction form
   1,216.41/1,876.78 = 1,876.78/x
3. Step 3: Cross multiply
   1,216.41x = 1,876.78 × 1,876.78
4. Step 4: Simplify right side
   1,216.41x = 3,522,307.86
5. Step 5: Solve for x
   x = 3,522,307.86/1,216.41
6. Step 6: Final answer
   x = 2,895.67