Finding the Third Proportional to 16,460 and 26,510

Step by Step Solution

1. Step 1: Write the proportion equation
   16,460 : 26,510 = 26,510 : x
2. Step 2: Convert to fraction form
   16,460/26,510 = 26,510/x
3. Step 3: Cross multiply
   16,460x = 26,510 × 26,510
4. Step 4: Simplify right side
   16,460x = 702,780,100
5. Step 5: Solve for x
   x = 702,780,100/16,460
6. Step 6: Final answer
   x = 42,696.24