Finding the Third Proportional to 10,646 and 23,140

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646 : 23,140 = 23,140 : x
2. Step 2: Convert to fraction form
   10,646/23,140 = 23,140/x
3. Step 3: Cross multiply
   10,646x = 23,140 × 23,140
4. Step 4: Simplify right side
   10,646x = 535,459,600
5. Step 5: Solve for x
   x = 535,459,600/10,646
6. Step 6: Final answer
   x = 50,296.79