Finding the Third Proportional to 47,970 and 67,098

Step by Step Solution

1. Step 1: Write the proportion equation
   47,970 : 67,098 = 67,098 : x
2. Step 2: Convert to fraction form
   47,970/67,098 = 67,098/x
3. Step 3: Cross multiply
   47,970x = 67,098 × 67,098
4. Step 4: Simplify right side
   47,970x = 4,502,141,604
5. Step 5: Solve for x
   x = 4,502,141,604/47,970
6. Step 6: Final answer
   x = 93,853.28