Finding the Third Proportional to 37,800 and 57,510

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800 : 57,510 = 57,510 : x
2. Step 2: Convert to fraction form
   37,800/57,510 = 57,510/x
3. Step 3: Cross multiply
   37,800x = 57,510 × 57,510
4. Step 4: Simplify right side
   37,800x = 3,307,400,100
5. Step 5: Solve for x
   x = 3,307,400,100/37,800
6. Step 6: Final answer
   x = 87,497.36