Finding the Third Proportional to 2,472.96 and 3,824.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,472.96 : 3,824.02 = 3,824.02 : x
2. Step 2: Convert to fraction form
   2,472.96/3,824.02 = 3,824.02/x
3. Step 3: Cross multiply
   2,472.96x = 3,824.02 × 3,824.02
4. Step 4: Simplify right side
   2,472.96x = 14,623,095.50
5. Step 5: Solve for x
   x = 14,623,095.50/2,472.96
6. Step 6: Final answer
   x = 5,913.19