Finding the Third Proportional to 37,794 and 52,839

Step by Step Solution

1. Step 1: Write the proportion equation
   37,794 : 52,839 = 52,839 : x
2. Step 2: Convert to fraction form
   37,794/52,839 = 52,839/x
3. Step 3: Cross multiply
   37,794x = 52,839 × 52,839
4. Step 4: Simplify right side
   37,794x = 2,791,959,921
5. Step 5: Solve for x
   x = 2,791,959,921/37,794
6. Step 6: Final answer
   x = 73,873.10