Finding the Third Proportional to 18,614 and 37,768

Step by Step Solution

1. Step 1: Write the proportion equation
   18,614 : 37,768 = 37,768 : x
2. Step 2: Convert to fraction form
   18,614/37,768 = 37,768/x
3. Step 3: Cross multiply
   18,614x = 37,768 × 37,768
4. Step 4: Simplify right side
   18,614x = 1,426,421,824
5. Step 5: Solve for x
   x = 1,426,421,824/18,614
6. Step 6: Final answer
   x = 76,631.67