Finding the Third Proportional to 13,038 and 21,578

Step by Step Solution

1. Step 1: Write the proportion equation
   13,038 : 21,578 = 21,578 : x
2. Step 2: Convert to fraction form
   13,038/21,578 = 21,578/x
3. Step 3: Cross multiply
   13,038x = 21,578 × 21,578
4. Step 4: Simplify right side
   13,038x = 465,610,084
5. Step 5: Solve for x
   x = 465,610,084/13,038
6. Step 6: Final answer
   x = 35,711.77