Finding the Third Proportional to 37,365.50 and 78,950

Step by Step Solution

1. Step 1: Write the proportion equation
   37,365.50 : 78,950 = 78,950 : x
2. Step 2: Convert to fraction form
   37,365.50/78,950 = 78,950/x
3. Step 3: Cross multiply
   37,365.50x = 78,950 × 78,950
4. Step 4: Simplify right side
   37,365.50x = 6,233,102,500
5. Step 5: Solve for x
   x = 6,233,102,500/37,365.50
6. Step 6: Final answer
   x = 166,814.37