Finding the Third Proportional to 37,754 and 83,554

Step by Step Solution

1. Step 1: Write the proportion equation
   37,754 : 83,554 = 83,554 : x
2. Step 2: Convert to fraction form
   37,754/83,554 = 83,554/x
3. Step 3: Cross multiply
   37,754x = 83,554 × 83,554
4. Step 4: Simplify right side
   37,754x = 6,981,270,916
5. Step 5: Solve for x
   x = 6,981,270,916/37,754
6. Step 6: Final answer
   x = 184,914.74