Finding the Third Proportional to 18,216 and 37,128

Step by Step Solution

1. Step 1: Write the proportion equation
   18,216 : 37,128 = 37,128 : x
2. Step 2: Convert to fraction form
   18,216/37,128 = 37,128/x
3. Step 3: Cross multiply
   18,216x = 37,128 × 37,128
4. Step 4: Simplify right side
   18,216x = 1,378,488,384
5. Step 5: Solve for x
   x = 1,378,488,384/18,216
6. Step 6: Final answer
   x = 75,674.59