Finding the Third Proportional to 1,415.81 and 2,200.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.81 : 2,200.78 = 2,200.78 : x
2. Step 2: Convert to fraction form
   1,415.81/2,200.78 = 2,200.78/x
3. Step 3: Cross multiply
   1,415.81x = 2,200.78 × 2,200.78
4. Step 4: Simplify right side
   1,415.81x = 4,843,438.11
5. Step 5: Solve for x
   x = 4,843,438.11/1,415.81
6. Step 6: Final answer
   x = 3,420.96