Finding the Third Proportional to 16,220 and 35,384

Step by Step Solution

1. Step 1: Write the proportion equation
   16,220 : 35,384 = 35,384 : x
2. Step 2: Convert to fraction form
   16,220/35,384 = 35,384/x
3. Step 3: Cross multiply
   16,220x = 35,384 × 35,384
4. Step 4: Simplify right side
   16,220x = 1,252,027,456
5. Step 5: Solve for x
   x = 1,252,027,456/16,220
6. Step 6: Final answer
   x = 77,190.35