Finding the Third Proportional to 13,420 and 31,636

Step by Step Solution

1. Step 1: Write the proportion equation
   13,420 : 31,636 = 31,636 : x
2. Step 2: Convert to fraction form
   13,420/31,636 = 31,636/x
3. Step 3: Cross multiply
   13,420x = 31,636 × 31,636
4. Step 4: Simplify right side
   13,420x = 1,000,836,496
5. Step 5: Solve for x
   x = 1,000,836,496/13,420
6. Step 6: Final answer
   x = 74,577.98