Finding the Third Proportional to 10,209 and 22,038

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209 : 22,038 = 22,038 : x
2. Step 2: Convert to fraction form
   10,209/22,038 = 22,038/x
3. Step 3: Cross multiply
   10,209x = 22,038 × 22,038
4. Step 4: Simplify right side
   10,209x = 485,673,444
5. Step 5: Solve for x
   x = 485,673,444/10,209
6. Step 6: Final answer
   x = 47,573.07