Finding the Third Proportional to 10,038 and 21,865

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038 : 21,865 = 21,865 : x
2. Step 2: Convert to fraction form
   10,038/21,865 = 21,865/x
3. Step 3: Cross multiply
   10,038x = 21,865 × 21,865
4. Step 4: Simplify right side
   10,038x = 478,078,225
5. Step 5: Solve for x
   x = 478,078,225/10,038
6. Step 6: Final answer
   x = 47,626.84