Finding the Third Proportional to 37,180 and 59,851

Step by Step Solution

1. Step 1: Write the proportion equation
   37,180 : 59,851 = 59,851 : x
2. Step 2: Convert to fraction form
   37,180/59,851 = 59,851/x
3. Step 3: Cross multiply
   37,180x = 59,851 × 59,851
4. Step 4: Simplify right side
   37,180x = 3,582,142,201
5. Step 5: Solve for x
   x = 3,582,142,201/37,180
6. Step 6: Final answer
   x = 96,345.94