Finding the Third Proportional to 12,838 and 20,526

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838 : 20,526 = 20,526 : x
2. Step 2: Convert to fraction form
   12,838/20,526 = 20,526/x
3. Step 3: Cross multiply
   12,838x = 20,526 × 20,526
4. Step 4: Simplify right side
   12,838x = 421,316,676
5. Step 5: Solve for x
   x = 421,316,676/12,838
6. Step 6: Final answer
   x = 32,817.94