Finding the Third Proportional to 10,460 and 23,026

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460 : 23,026 = 23,026 : x
2. Step 2: Convert to fraction form
   10,460/23,026 = 23,026/x
3. Step 3: Cross multiply
   10,460x = 23,026 × 23,026
4. Step 4: Simplify right side
   10,460x = 530,196,676
5. Step 5: Solve for x
   x = 530,196,676/10,460
6. Step 6: Final answer
   x = 50,688.02