Finding the Third Proportional to 36,442 and 56,196

Step by Step Solution

1. Step 1: Write the proportion equation
   36,442 : 56,196 = 56,196 : x
2. Step 2: Convert to fraction form
   36,442/56,196 = 56,196/x
3. Step 3: Cross multiply
   36,442x = 56,196 × 56,196
4. Step 4: Simplify right side
   36,442x = 3,157,990,416
5. Step 5: Solve for x
   x = 3,157,990,416/36,442
6. Step 6: Final answer
   x = 86,657.99