Finding the Third Proportional to 37,848 and 57,690

Step by Step Solution

1. Step 1: Write the proportion equation
   37,848 : 57,690 = 57,690 : x
2. Step 2: Convert to fraction form
   37,848/57,690 = 57,690/x
3. Step 3: Cross multiply
   37,848x = 57,690 × 57,690
4. Step 4: Simplify right side
   37,848x = 3,328,136,100
5. Step 5: Solve for x
   x = 3,328,136,100/37,848
6. Step 6: Final answer
   x = 87,934.27