Finding the Third Proportional to 9,085.50 and 18,738

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.50 : 18,738 = 18,738 : x
2. Step 2: Convert to fraction form
   9,085.50/18,738 = 18,738/x
3. Step 3: Cross multiply
   9,085.50x = 18,738 × 18,738
4. Step 4: Simplify right side
   9,085.50x = 351,112,644
5. Step 5: Solve for x
   x = 351,112,644/9,085.50
6. Step 6: Final answer
   x = 38,645.38