Finding the Third Proportional to 47,689 and 75,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,689 : 75,496.50 = 75,496.50 : x
2. Step 2: Convert to fraction form
   47,689/75,496.50 = 75,496.50/x
3. Step 3: Cross multiply
   47,689x = 75,496.50 × 75,496.50
4. Step 4: Simplify right side
   47,689x = 5,699,721,512.25
5. Step 5: Solve for x
   x = 5,699,721,512.25/47,689
6. Step 6: Final answer
   x = 119,518.58