Finding the Third Proportional to 5,152.13 and 7,724.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.13 : 7,724.63 = 7,724.63 : x
2. Step 2: Convert to fraction form
   5,152.13/7,724.63 = 7,724.63/x
3. Step 3: Cross multiply
   5,152.13x = 7,724.63 × 7,724.63
4. Step 4: Simplify right side
   5,152.13x = 59,669,831.39
5. Step 5: Solve for x
   x = 59,669,831.39/5,152.13
6. Step 6: Final answer
   x = 11,581.60