Finding the Third Proportional to 37,174 and 52,993

Step by Step Solution

1. Step 1: Write the proportion equation
   37,174 : 52,993 = 52,993 : x
2. Step 2: Convert to fraction form
   37,174/52,993 = 52,993/x
3. Step 3: Cross multiply
   37,174x = 52,993 × 52,993
4. Step 4: Simplify right side
   37,174x = 2,808,258,049
5. Step 5: Solve for x
   x = 2,808,258,049/37,174
6. Step 6: Final answer
   x = 75,543.61