Finding the Third Proportional to 37,178 and 52,996

Step by Step Solution

1. Step 1: Write the proportion equation
   37,178 : 52,996 = 52,996 : x
2. Step 2: Convert to fraction form
   37,178/52,996 = 52,996/x
3. Step 3: Cross multiply
   37,178x = 52,996 × 52,996
4. Step 4: Simplify right side
   37,178x = 2,808,576,016
5. Step 5: Solve for x
   x = 2,808,576,016/37,178
6. Step 6: Final answer
   x = 75,544.03