Finding the Third Proportional to 13,059 and 23,526

Step by Step Solution

1. Step 1: Write the proportion equation
   13,059 : 23,526 = 23,526 : x
2. Step 2: Convert to fraction form
   13,059/23,526 = 23,526/x
3. Step 3: Cross multiply
   13,059x = 23,526 × 23,526
4. Step 4: Simplify right side
   13,059x = 553,472,676
5. Step 5: Solve for x
   x = 553,472,676/13,059
6. Step 6: Final answer
   x = 42,382.47