Finding the Third Proportional to 16,464 and 34,272

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 34,272 = 34,272 : x
2. Step 2: Convert to fraction form
   16,464/34,272 = 34,272/x
3. Step 3: Cross multiply
   16,464x = 34,272 × 34,272
4. Step 4: Simplify right side
   16,464x = 1,174,569,984
5. Step 5: Solve for x
   x = 1,174,569,984/16,464
6. Step 6: Final answer
   x = 71,341.71