Finding the Third Proportional to 1,491.75 and 2,123.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.75 : 2,123.63 = 2,123.63 : x
2. Step 2: Convert to fraction form
   1,491.75/2,123.63 = 2,123.63/x
3. Step 3: Cross multiply
   1,491.75x = 2,123.63 × 2,123.63
4. Step 4: Simplify right side
   1,491.75x = 4,509,783.14
5. Step 5: Solve for x
   x = 4,509,783.14/1,491.75
6. Step 6: Final answer
   x = 3,023.15