Finding the Third Proportional to 18,033 and 38,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,033 : 38,665.50 = 38,665.50 : x
2. Step 2: Convert to fraction form
   18,033/38,665.50 = 38,665.50/x
3. Step 3: Cross multiply
   18,033x = 38,665.50 × 38,665.50
4. Step 4: Simplify right side
   18,033x = 1,495,020,890.25
5. Step 5: Solve for x
   x = 1,495,020,890.25/18,033
6. Step 6: Final answer
   x = 82,904.72