Finding the Third Proportional to 10,606 and 23,117

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606 : 23,117 = 23,117 : x
2. Step 2: Convert to fraction form
   10,606/23,117 = 23,117/x
3. Step 3: Cross multiply
   10,606x = 23,117 × 23,117
4. Step 4: Simplify right side
   10,606x = 534,395,689
5. Step 5: Solve for x
   x = 534,395,689/10,606
6. Step 6: Final answer
   x = 50,386.17