Finding the Third Proportional to 37,851 and 79,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,851 : 79,621.50 = 79,621.50 : x
2. Step 2: Convert to fraction form
   37,851/79,621.50 = 79,621.50/x
3. Step 3: Cross multiply
   37,851x = 79,621.50 × 79,621.50
4. Step 4: Simplify right side
   37,851x = 6,339,583,262.25
5. Step 5: Solve for x
   x = 6,339,583,262.25/37,851
6. Step 6: Final answer
   x = 167,487.87