Finding the Third Proportional to 10,516 and 23,080

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516 : 23,080 = 23,080 : x
2. Step 2: Convert to fraction form
   10,516/23,080 = 23,080/x
3. Step 3: Cross multiply
   10,516x = 23,080 × 23,080
4. Step 4: Simplify right side
   10,516x = 532,686,400
5. Step 5: Solve for x
   x = 532,686,400/10,516
6. Step 6: Final answer
   x = 50,654.85