Finding the Third Proportional to 16,377 and 35,754

Step by Step Solution

1. Step 1: Write the proportion equation
   16,377 : 35,754 = 35,754 : x
2. Step 2: Convert to fraction form
   16,377/35,754 = 35,754/x
3. Step 3: Cross multiply
   16,377x = 35,754 × 35,754
4. Step 4: Simplify right side
   16,377x = 1,278,348,516
5. Step 5: Solve for x
   x = 1,278,348,516/16,377
6. Step 6: Final answer
   x = 78,057.55