Finding the Third Proportional to 38,174 and 57,680

Step by Step Solution

1. Step 1: Write the proportion equation
   38,174 : 57,680 = 57,680 : x
2. Step 2: Convert to fraction form
   38,174/57,680 = 57,680/x
3. Step 3: Cross multiply
   38,174x = 57,680 × 57,680
4. Step 4: Simplify right side
   38,174x = 3,326,982,400
5. Step 5: Solve for x
   x = 3,326,982,400/38,174
6. Step 6: Final answer
   x = 87,153.10