Finding the Third Proportional to 37,344 and 78,150

Step by Step Solution

1. Step 1: Write the proportion equation
   37,344 : 78,150 = 78,150 : x
2. Step 2: Convert to fraction form
   37,344/78,150 = 78,150/x
3. Step 3: Cross multiply
   37,344x = 78,150 × 78,150
4. Step 4: Simplify right side
   37,344x = 6,107,422,500
5. Step 5: Solve for x
   x = 6,107,422,500/37,344
6. Step 6: Final answer
   x = 163,544.95