Finding the Third Proportional to 36,595 and 76,061

Step by Step Solution

1. Step 1: Write the proportion equation
   36,595 : 76,061 = 76,061 : x
2. Step 2: Convert to fraction form
   36,595/76,061 = 76,061/x
3. Step 3: Cross multiply
   36,595x = 76,061 × 76,061
4. Step 4: Simplify right side
   36,595x = 5,785,275,721
5. Step 5: Solve for x
   x = 5,785,275,721/36,595
6. Step 6: Final answer
   x = 158,089.24