Finding the Third Proportional to 13,400 and 23,870

Step by Step Solution

1. Step 1: Write the proportion equation
   13,400 : 23,870 = 23,870 : x
2. Step 2: Convert to fraction form
   13,400/23,870 = 23,870/x
3. Step 3: Cross multiply
   13,400x = 23,870 × 23,870
4. Step 4: Simplify right side
   13,400x = 569,776,900
5. Step 5: Solve for x
   x = 569,776,900/13,400
6. Step 6: Final answer
   x = 42,520.66