Finding the Third Proportional to 16,228 and 35,464

Step by Step Solution

1. Step 1: Write the proportion equation
   16,228 : 35,464 = 35,464 : x
2. Step 2: Convert to fraction form
   16,228/35,464 = 35,464/x
3. Step 3: Cross multiply
   16,228x = 35,464 × 35,464
4. Step 4: Simplify right side
   16,228x = 1,257,695,296
5. Step 5: Solve for x
   x = 1,257,695,296/16,228
6. Step 6: Final answer
   x = 77,501.56