Finding the Third Proportional to 2,322.75 and 5,038.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.75 : 5,038.88 = 5,038.88 : x
2. Step 2: Convert to fraction form
   2,322.75/5,038.88 = 5,038.88/x
3. Step 3: Cross multiply
   2,322.75x = 5,038.88 × 5,038.88
4. Step 4: Simplify right side
   2,322.75x = 25,390,261.27
5. Step 5: Solve for x
   x = 25,390,261.27/2,322.75
6. Step 6: Final answer
   x = 10,931.12