Finding the Third Proportional to 37,152 and 65,496

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 65,496 = 65,496 : x
2. Step 2: Convert to fraction form
   37,152/65,496 = 65,496/x
3. Step 3: Cross multiply
   37,152x = 65,496 × 65,496
4. Step 4: Simplify right side
   37,152x = 4,289,726,016
5. Step 5: Solve for x
   x = 4,289,726,016/37,152
6. Step 6: Final answer
   x = 115,464.20