Finding the Third Proportional to 899.86 and 1,966.78

Step by Step Solution

1. Step 1: Write the proportion equation
   899.86 : 1,966.78 = 1,966.78 : x
2. Step 2: Convert to fraction form
   899.86/1,966.78 = 1,966.78/x
3. Step 3: Cross multiply
   899.86x = 1,966.78 × 1,966.78
4. Step 4: Simplify right side
   899.86x = 3,868,228.49
5. Step 5: Solve for x
   x = 3,868,228.49/899.86
6. Step 6: Final answer
   x = 4,298.70