Finding the Third Proportional to 2,301.75 and 4,264.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,301.75 : 4,264.31 = 4,264.31 : x
2. Step 2: Convert to fraction form
   2,301.75/4,264.31 = 4,264.31/x
3. Step 3: Cross multiply
   2,301.75x = 4,264.31 × 4,264.31
4. Step 4: Simplify right side
   2,301.75x = 18,184,361.10
5. Step 5: Solve for x
   x = 18,184,361.10/2,301.75
6. Step 6: Final answer
   x = 7,900.23