Finding the Third Proportional to 37,929.50 and 82,771

Step by Step Solution

1. Step 1: Write the proportion equation
   37,929.50 : 82,771 = 82,771 : x
2. Step 2: Convert to fraction form
   37,929.50/82,771 = 82,771/x
3. Step 3: Cross multiply
   37,929.50x = 82,771 × 82,771
4. Step 4: Simplify right side
   37,929.50x = 6,851,038,441
5. Step 5: Solve for x
   x = 6,851,038,441/37,929.50
6. Step 6: Final answer
   x = 180,625.59