Finding the Third Proportional to 2,322.74 and 5,423.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.74 : 5,423.84 = 5,423.84 : x
2. Step 2: Convert to fraction form
   2,322.74/5,423.84 = 5,423.84/x
3. Step 3: Cross multiply
   2,322.74x = 5,423.84 × 5,423.84
4. Step 4: Simplify right side
   2,322.74x = 29,417,996.28
5. Step 5: Solve for x
   x = 29,417,996.28/2,322.74
6. Step 6: Final answer
   x = 12,665.22