Finding the Third Proportional to 35,800 and 64,496

Step by Step Solution

1. Step 1: Write the proportion equation
   35,800 : 64,496 = 64,496 : x
2. Step 2: Convert to fraction form
   35,800/64,496 = 64,496/x
3. Step 3: Cross multiply
   35,800x = 64,496 × 64,496
4. Step 4: Simplify right side
   35,800x = 4,159,734,016
5. Step 5: Solve for x
   x = 4,159,734,016/35,800
6. Step 6: Final answer
   x = 116,193.69