Finding the Third Proportional to 47,647.50 and 101,853

Step by Step Solution

1. Step 1: Write the proportion equation
   47,647.50 : 101,853 = 101,853 : x
2. Step 2: Convert to fraction form
   47,647.50/101,853 = 101,853/x
3. Step 3: Cross multiply
   47,647.50x = 101,853 × 101,853
4. Step 4: Simplify right side
   47,647.50x = 10,374,033,609
5. Step 5: Solve for x
   x = 10,374,033,609/47,647.50
6. Step 6: Final answer
   x = 217,724.62