Finding the Third Proportional to 1,629.50 and 2,213.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,629.50 : 2,213.88 = 2,213.88 : x
2. Step 2: Convert to fraction form
   1,629.50/2,213.88 = 2,213.88/x
3. Step 3: Cross multiply
   1,629.50x = 2,213.88 × 2,213.88
4. Step 4: Simplify right side
   1,629.50x = 4,901,242.52
5. Step 5: Solve for x
   x = 4,901,242.52/1,629.50
6. Step 6: Final answer
   x = 3,007.82