Finding the Third Proportional to 18,234.75 and 37,733.25

Step by Step Solution

1. Step 1: Write the proportion equation
   18,234.75 : 37,733.25 = 37,733.25 : x
2. Step 2: Convert to fraction form
   18,234.75/37,733.25 = 37,733.25/x
3. Step 3: Cross multiply
   18,234.75x = 37,733.25 × 37,733.25
4. Step 4: Simplify right side
   18,234.75x = 1,423,798,155.56
5. Step 5: Solve for x
   x = 1,423,798,155.56/18,234.75
6. Step 6: Final answer
   x = 78,081.58