Finding the Third Proportional to 37,578 and 52,858

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578 : 52,858 = 52,858 : x
2. Step 2: Convert to fraction form
   37,578/52,858 = 52,858/x
3. Step 3: Cross multiply
   37,578x = 52,858 × 52,858
4. Step 4: Simplify right side
   37,578x = 2,793,968,164
5. Step 5: Solve for x
   x = 2,793,968,164/37,578
6. Step 6: Final answer
   x = 74,351.17