Finding the Third Proportional to 35,886 and 78,612

Step by Step Solution

1. Step 1: Write the proportion equation
   35,886 : 78,612 = 78,612 : x
2. Step 2: Convert to fraction form
   35,886/78,612 = 78,612/x
3. Step 3: Cross multiply
   35,886x = 78,612 × 78,612
4. Step 4: Simplify right side
   35,886x = 6,179,846,544
5. Step 5: Solve for x
   x = 6,179,846,544/35,886
6. Step 6: Final answer
   x = 172,207.73