Finding the Third Proportional to 1,872.56 and 4,123.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,872.56 : 4,123.13 = 4,123.13 : x
2. Step 2: Convert to fraction form
   1,872.56/4,123.13 = 4,123.13/x
3. Step 3: Cross multiply
   1,872.56x = 4,123.13 × 4,123.13
4. Step 4: Simplify right side
   1,872.56x = 17,000,159.77
5. Step 5: Solve for x
   x = 17,000,159.77/1,872.56
6. Step 6: Final answer
   x = 9,078.55