Finding the Third Proportional to 16,180 and 35,382

Step by Step Solution

1. Step 1: Write the proportion equation
   16,180 : 35,382 = 35,382 : x
2. Step 2: Convert to fraction form
   16,180/35,382 = 35,382/x
3. Step 3: Cross multiply
   16,180x = 35,382 × 35,382
4. Step 4: Simplify right side
   16,180x = 1,251,885,924
5. Step 5: Solve for x
   x = 1,251,885,924/16,180
6. Step 6: Final answer
   x = 77,372.43