Finding the Third Proportional to 35,769 and 78,543

Step by Step Solution

1. Step 1: Write the proportion equation
   35,769 : 78,543 = 78,543 : x
2. Step 2: Convert to fraction form
   35,769/78,543 = 78,543/x
3. Step 3: Cross multiply
   35,769x = 78,543 × 78,543
4. Step 4: Simplify right side
   35,769x = 6,169,002,849
5. Step 5: Solve for x
   x = 6,169,002,849/35,769
6. Step 6: Final answer
   x = 172,467.86