Finding the Third Proportional to 37,568 and 76,168

Step by Step Solution

1. Step 1: Write the proportion equation
   37,568 : 76,168 = 76,168 : x
2. Step 2: Convert to fraction form
   37,568/76,168 = 76,168/x
3. Step 3: Cross multiply
   37,568x = 76,168 × 76,168
4. Step 4: Simplify right side
   37,568x = 5,801,564,224
5. Step 5: Solve for x
   x = 5,801,564,224/37,568
6. Step 6: Final answer
   x = 154,428.35