Finding the Third Proportional to 37,968 and 57,870

Step by Step Solution

1. Step 1: Write the proportion equation
   37,968 : 57,870 = 57,870 : x
2. Step 2: Convert to fraction form
   37,968/57,870 = 57,870/x
3. Step 3: Cross multiply
   37,968x = 57,870 × 57,870
4. Step 4: Simplify right side
   37,968x = 3,348,936,900
5. Step 5: Solve for x
   x = 3,348,936,900/37,968
6. Step 6: Final answer
   x = 88,204.20