Finding the Third Proportional to 14,206 and 21,034

Step by Step Solution

1. Step 1: Write the proportion equation
   14,206 : 21,034 = 21,034 : x
2. Step 2: Convert to fraction form
   14,206/21,034 = 21,034/x
3. Step 3: Cross multiply
   14,206x = 21,034 × 21,034
4. Step 4: Simplify right side
   14,206x = 442,429,156
5. Step 5: Solve for x
   x = 442,429,156/14,206
6. Step 6: Final answer
   x = 31,143.82