Finding the Third Proportional to 18,237 and 37,738

Step by Step Solution

1. Step 1: Write the proportion equation
   18,237 : 37,738 = 37,738 : x
2. Step 2: Convert to fraction form
   18,237/37,738 = 37,738/x
3. Step 3: Cross multiply
   18,237x = 37,738 × 37,738
4. Step 4: Simplify right side
   18,237x = 1,424,156,644
5. Step 5: Solve for x
   x = 1,424,156,644/18,237
6. Step 6: Final answer
   x = 78,091.61