Finding the Third Proportional to 10,646 and 23,160

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646 : 23,160 = 23,160 : x
2. Step 2: Convert to fraction form
   10,646/23,160 = 23,160/x
3. Step 3: Cross multiply
   10,646x = 23,160 × 23,160
4. Step 4: Simplify right side
   10,646x = 536,385,600
5. Step 5: Solve for x
   x = 536,385,600/10,646
6. Step 6: Final answer
   x = 50,383.77