Finding the Third Proportional to 37,397 and 81,834

Step by Step Solution

1. Step 1: Write the proportion equation
   37,397 : 81,834 = 81,834 : x
2. Step 2: Convert to fraction form
   37,397/81,834 = 81,834/x
3. Step 3: Cross multiply
   37,397x = 81,834 × 81,834
4. Step 4: Simplify right side
   37,397x = 6,696,803,556
5. Step 5: Solve for x
   x = 6,696,803,556/37,397
6. Step 6: Final answer
   x = 179,073.28