Finding the Third Proportional to 1,451.50 and 2,074.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.50 : 2,074.88 = 2,074.88 : x
2. Step 2: Convert to fraction form
   1,451.50/2,074.88 = 2,074.88/x
3. Step 3: Cross multiply
   1,451.50x = 2,074.88 × 2,074.88
4. Step 4: Simplify right side
   1,451.50x = 4,305,106.27
5. Step 5: Solve for x
   x = 4,305,106.27/1,451.50
6. Step 6: Final answer
   x = 2,965.97