Finding the Third Proportional to 13,624 and 30,438

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624 : 30,438 = 30,438 : x
2. Step 2: Convert to fraction form
   13,624/30,438 = 30,438/x
3. Step 3: Cross multiply
   13,624x = 30,438 × 30,438
4. Step 4: Simplify right side
   13,624x = 926,471,844
5. Step 5: Solve for x
   x = 926,471,844/13,624
6. Step 6: Final answer
   x = 68,002.92