Finding the Third Proportional to 21,640 and 32,460

Step by Step Solution

1. Step 1: Write the proportion equation
   21,640 : 32,460 = 32,460 : x
2. Step 2: Convert to fraction form
   21,640/32,460 = 32,460/x
3. Step 3: Cross multiply
   21,640x = 32,460 × 32,460
4. Step 4: Simplify right side
   21,640x = 1,053,651,600
5. Step 5: Solve for x
   x = 1,053,651,600/21,640
6. Step 6: Final answer
   x = 48,690