Finding the Third Proportional to 37,467.75 and 78,399.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,467.75 : 78,399.75 = 78,399.75 : x
2. Step 2: Convert to fraction form
   37,467.75/78,399.75 = 78,399.75/x
3. Step 3: Cross multiply
   37,467.75x = 78,399.75 × 78,399.75
4. Step 4: Simplify right side
   37,467.75x = 6,146,520,800.06
5. Step 5: Solve for x
   x = 6,146,520,800.06/37,467.75
6. Step 6: Final answer
   x = 164,048.30