Finding the Third Proportional to 10,160 and 14,640

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160 : 14,640 = 14,640 : x
2. Step 2: Convert to fraction form
   10,160/14,640 = 14,640/x
3. Step 3: Cross multiply
   10,160x = 14,640 × 14,640
4. Step 4: Simplify right side
   10,160x = 214,329,600
5. Step 5: Solve for x
   x = 214,329,600/10,160
6. Step 6: Final answer
   x = 21,095.43