Finding the Third Proportional to 13,185 and 20,506

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185 : 20,506 = 20,506 : x
2. Step 2: Convert to fraction form
   13,185/20,506 = 20,506/x
3. Step 3: Cross multiply
   13,185x = 20,506 × 20,506
4. Step 4: Simplify right side
   13,185x = 420,496,036
5. Step 5: Solve for x
   x = 420,496,036/13,185
6. Step 6: Final answer
   x = 31,892.00