Finding the Third Proportional to 21,838 and 32,940

Step by Step Solution

1. Step 1: Write the proportion equation
   21,838 : 32,940 = 32,940 : x
2. Step 2: Convert to fraction form
   21,838/32,940 = 32,940/x
3. Step 3: Cross multiply
   21,838x = 32,940 × 32,940
4. Step 4: Simplify right side
   21,838x = 1,085,043,600
5. Step 5: Solve for x
   x = 1,085,043,600/21,838
6. Step 6: Final answer
   x = 49,686.03