Finding the Third Proportional to 13,870 and 21,342

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870 : 21,342 = 21,342 : x
2. Step 2: Convert to fraction form
   13,870/21,342 = 21,342/x
3. Step 3: Cross multiply
   13,870x = 21,342 × 21,342
4. Step 4: Simplify right side
   13,870x = 455,480,964
5. Step 5: Solve for x
   x = 455,480,964/13,870
6. Step 6: Final answer
   x = 32,839.29