Finding the Third Proportional to 16,507 and 34,382

Step by Step Solution

1. Step 1: Write the proportion equation
   16,507 : 34,382 = 34,382 : x
2. Step 2: Convert to fraction form
   16,507/34,382 = 34,382/x
3. Step 3: Cross multiply
   16,507x = 34,382 × 34,382
4. Step 4: Simplify right side
   16,507x = 1,182,121,924
5. Step 5: Solve for x
   x = 1,182,121,924/16,507
6. Step 6: Final answer
   x = 71,613.37