Finding the Third Proportional to 10,972 and 24,280

Step by Step Solution

1. Step 1: Write the proportion equation
   10,972 : 24,280 = 24,280 : x
2. Step 2: Convert to fraction form
   10,972/24,280 = 24,280/x
3. Step 3: Cross multiply
   10,972x = 24,280 × 24,280
4. Step 4: Simplify right side
   10,972x = 589,518,400
5. Step 5: Solve for x
   x = 589,518,400/10,972
6. Step 6: Final answer
   x = 53,729.35