Finding the Third Proportional to 13,214 and 28,642

Step by Step Solution

1. Step 1: Write the proportion equation
   13,214 : 28,642 = 28,642 : x
2. Step 2: Convert to fraction form
   13,214/28,642 = 28,642/x
3. Step 3: Cross multiply
   13,214x = 28,642 × 28,642
4. Step 4: Simplify right side
   13,214x = 820,364,164
5. Step 5: Solve for x
   x = 820,364,164/13,214
6. Step 6: Final answer
   x = 62,082.95