Finding the Third Proportional to 37,807.50 and 82,851

Step by Step Solution

1. Step 1: Write the proportion equation
   37,807.50 : 82,851 = 82,851 : x
2. Step 2: Convert to fraction form
   37,807.50/82,851 = 82,851/x
3. Step 3: Cross multiply
   37,807.50x = 82,851 × 82,851
4. Step 4: Simplify right side
   37,807.50x = 6,864,288,201
5. Step 5: Solve for x
   x = 6,864,288,201/37,807.50
6. Step 6: Final answer
   x = 181,558.90