Finding the Third Proportional to 32,470 and 65,621

Step by Step Solution

1. Step 1: Write the proportion equation
   32,470 : 65,621 = 65,621 : x
2. Step 2: Convert to fraction form
   32,470/65,621 = 65,621/x
3. Step 3: Cross multiply
   32,470x = 65,621 × 65,621
4. Step 4: Simplify right side
   32,470x = 4,306,115,641
5. Step 5: Solve for x
   x = 4,306,115,641/32,470
6. Step 6: Final answer
   x = 132,618.28