Finding the Third Proportional to 10,265 and 22,109

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265 : 22,109 = 22,109 : x
2. Step 2: Convert to fraction form
   10,265/22,109 = 22,109/x
3. Step 3: Cross multiply
   10,265x = 22,109 × 22,109
4. Step 4: Simplify right side
   10,265x = 488,807,881
5. Step 5: Solve for x
   x = 488,807,881/10,265
6. Step 6: Final answer
   x = 47,618.89