Finding the Third Proportional to 37,855.50 and 78,816

Step by Step Solution

1. Step 1: Write the proportion equation
   37,855.50 : 78,816 = 78,816 : x
2. Step 2: Convert to fraction form
   37,855.50/78,816 = 78,816/x
3. Step 3: Cross multiply
   37,855.50x = 78,816 × 78,816
4. Step 4: Simplify right side
   37,855.50x = 6,211,961,856
5. Step 5: Solve for x
   x = 6,211,961,856/37,855.50
6. Step 6: Final answer
   x = 164,096.68