Finding the Third Proportional to 37,303.50 and 39,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,303.50 : 39,733.50 = 39,733.50 : x
2. Step 2: Convert to fraction form
   37,303.50/39,733.50 = 39,733.50/x
3. Step 3: Cross multiply
   37,303.50x = 39,733.50 × 39,733.50
4. Step 4: Simplify right side
   37,303.50x = 1,578,751,022.25
5. Step 5: Solve for x
   x = 1,578,751,022.25/37,303.50
6. Step 6: Final answer
   x = 42,321.79