Finding the Third Proportional to 38,144 and 83,680

Step by Step Solution

1. Step 1: Write the proportion equation
   38,144 : 83,680 = 83,680 : x
2. Step 2: Convert to fraction form
   38,144/83,680 = 83,680/x
3. Step 3: Cross multiply
   38,144x = 83,680 × 83,680
4. Step 4: Simplify right side
   38,144x = 7,002,342,400
5. Step 5: Solve for x
   x = 7,002,342,400/38,144
6. Step 6: Final answer
   x = 183,576.51