Finding the Third Proportional to 16,074 and 23,526

Step by Step Solution

1. Step 1: Write the proportion equation
   16,074 : 23,526 = 23,526 : x
2. Step 2: Convert to fraction form
   16,074/23,526 = 23,526/x
3. Step 3: Cross multiply
   16,074x = 23,526 × 23,526
4. Step 4: Simplify right side
   16,074x = 553,472,676
5. Step 5: Solve for x
   x = 553,472,676/16,074
6. Step 6: Final answer
   x = 34,432.79