Finding the Third Proportional to 37,965.50 and 82,484

Step by Step Solution

1. Step 1: Write the proportion equation
   37,965.50 : 82,484 = 82,484 : x
2. Step 2: Convert to fraction form
   37,965.50/82,484 = 82,484/x
3. Step 3: Cross multiply
   37,965.50x = 82,484 × 82,484
4. Step 4: Simplify right side
   37,965.50x = 6,803,610,256
5. Step 5: Solve for x
   x = 6,803,610,256/37,965.50
6. Step 6: Final answer
   x = 179,205.07