Finding the Third Proportional to 20,470 and 32,838

Step by Step Solution

1. Step 1: Write the proportion equation
   20,470 : 32,838 = 32,838 : x
2. Step 2: Convert to fraction form
   20,470/32,838 = 32,838/x
3. Step 3: Cross multiply
   20,470x = 32,838 × 32,838
4. Step 4: Simplify right side
   20,470x = 1,078,334,244
5. Step 5: Solve for x
   x = 1,078,334,244/20,470
6. Step 6: Final answer
   x = 52,678.76