Finding the Third Proportional to 37,508 and 57,819

Step by Step Solution

1. Step 1: Write the proportion equation
   37,508 : 57,819 = 57,819 : x
2. Step 2: Convert to fraction form
   37,508/57,819 = 57,819/x
3. Step 3: Cross multiply
   37,508x = 57,819 × 57,819
4. Step 4: Simplify right side
   37,508x = 3,343,036,761
5. Step 5: Solve for x
   x = 3,343,036,761/37,508
6. Step 6: Final answer
   x = 89,128.63