Finding the Third Proportional to 18,200 and 37,132

Step by Step Solution

1. Step 1: Write the proportion equation
   18,200 : 37,132 = 37,132 : x
2. Step 2: Convert to fraction form
   18,200/37,132 = 37,132/x
3. Step 3: Cross multiply
   18,200x = 37,132 × 37,132
4. Step 4: Simplify right side
   18,200x = 1,378,785,424
5. Step 5: Solve for x
   x = 1,378,785,424/18,200
6. Step 6: Final answer
   x = 75,757.44