Finding the Third Proportional to 10,265 and 22,113

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265 : 22,113 = 22,113 : x
2. Step 2: Convert to fraction form
   10,265/22,113 = 22,113/x
3. Step 3: Cross multiply
   10,265x = 22,113 × 22,113
4. Step 4: Simplify right side
   10,265x = 488,984,769
5. Step 5: Solve for x
   x = 488,984,769/10,265
6. Step 6: Final answer
   x = 47,636.12