Finding the Third Proportional to 37,168 and 57,588

Step by Step Solution

1. Step 1: Write the proportion equation
   37,168 : 57,588 = 57,588 : x
2. Step 2: Convert to fraction form
   37,168/57,588 = 57,588/x
3. Step 3: Cross multiply
   37,168x = 57,588 × 57,588
4. Step 4: Simplify right side
   37,168x = 3,316,377,744
5. Step 5: Solve for x
   x = 3,316,377,744/37,168
6. Step 6: Final answer
   x = 89,226.69