Finding the Third Proportional to 35,996 and 56,358

Step by Step Solution

1. Step 1: Write the proportion equation
   35,996 : 56,358 = 56,358 : x
2. Step 2: Convert to fraction form
   35,996/56,358 = 56,358/x
3. Step 3: Cross multiply
   35,996x = 56,358 × 56,358
4. Step 4: Simplify right side
   35,996x = 3,176,224,164
5. Step 5: Solve for x
   x = 3,176,224,164/35,996
6. Step 6: Final answer
   x = 88,238.25