Finding the Third Proportional to 9,919.50 and 21,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,919.50 : 21,742.50 = 21,742.50 : x
2. Step 2: Convert to fraction form
   9,919.50/21,742.50 = 21,742.50/x
3. Step 3: Cross multiply
   9,919.50x = 21,742.50 × 21,742.50
4. Step 4: Simplify right side
   9,919.50x = 472,736,306.25
5. Step 5: Solve for x
   x = 472,736,306.25/9,919.50
6. Step 6: Final answer
   x = 47,657.27