Finding the Third Proportional to 1,446.75 and 1,924.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.75 : 1,924.88 = 1,924.88 : x
2. Step 2: Convert to fraction form
   1,446.75/1,924.88 = 1,924.88/x
3. Step 3: Cross multiply
   1,446.75x = 1,924.88 × 1,924.88
4. Step 4: Simplify right side
   1,446.75x = 3,705,143.77
5. Step 5: Solve for x
   x = 3,705,143.77/1,446.75
6. Step 6: Final answer
   x = 2,561.01