Finding the Third Proportional to 12,902 and 20,505

Step by Step Solution

1. Step 1: Write the proportion equation
   12,902 : 20,505 = 20,505 : x
2. Step 2: Convert to fraction form
   12,902/20,505 = 20,505/x
3. Step 3: Cross multiply
   12,902x = 20,505 × 20,505
4. Step 4: Simplify right side
   12,902x = 420,455,025
5. Step 5: Solve for x
   x = 420,455,025/12,902
6. Step 6: Final answer
   x = 32,588.36