Finding the Third Proportional to 16,216 and 35,272

Step by Step Solution

1. Step 1: Write the proportion equation
   16,216 : 35,272 = 35,272 : x
2. Step 2: Convert to fraction form
   16,216/35,272 = 35,272/x
3. Step 3: Cross multiply
   16,216x = 35,272 × 35,272
4. Step 4: Simplify right side
   16,216x = 1,244,113,984
5. Step 5: Solve for x
   x = 1,244,113,984/16,216
6. Step 6: Final answer
   x = 76,721.39