Finding the Third Proportional to 38,478 and 57,970

Step by Step Solution

1. Step 1: Write the proportion equation
   38,478 : 57,970 = 57,970 : x
2. Step 2: Convert to fraction form
   38,478/57,970 = 57,970/x
3. Step 3: Cross multiply
   38,478x = 57,970 × 57,970
4. Step 4: Simplify right side
   38,478x = 3,360,520,900
5. Step 5: Solve for x
   x = 3,360,520,900/38,478
6. Step 6: Final answer
   x = 87,336.16