Finding the Third Proportional to 37,784 and 80,752

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784 : 80,752 = 80,752 : x
2. Step 2: Convert to fraction form
   37,784/80,752 = 80,752/x
3. Step 3: Cross multiply
   37,784x = 80,752 × 80,752
4. Step 4: Simplify right side
   37,784x = 6,520,885,504
5. Step 5: Solve for x
   x = 6,520,885,504/37,784
6. Step 6: Final answer
   x = 172,583.25