Finding the Third Proportional to 37,784 and 55,524

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784 : 55,524 = 55,524 : x
2. Step 2: Convert to fraction form
   37,784/55,524 = 55,524/x
3. Step 3: Cross multiply
   37,784x = 55,524 × 55,524
4. Step 4: Simplify right side
   37,784x = 3,082,914,576
5. Step 5: Solve for x
   x = 3,082,914,576/37,784
6. Step 6: Final answer
   x = 81,593.12