Finding the Third Proportional to 1,649.81 and 2,221.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649.81 : 2,221.88 = 2,221.88 : x
2. Step 2: Convert to fraction form
   1,649.81/2,221.88 = 2,221.88/x
3. Step 3: Cross multiply
   1,649.81x = 2,221.88 × 2,221.88
4. Step 4: Simplify right side
   1,649.81x = 4,936,728.52
5. Step 5: Solve for x
   x = 4,936,728.52/1,649.81
6. Step 6: Final answer
   x = 2,992.30