Finding the Third Proportional to 9,609.75 and 21,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,609.75 : 21,307.50 = 21,307.50 : x
2. Step 2: Convert to fraction form
   9,609.75/21,307.50 = 21,307.50/x
3. Step 3: Cross multiply
   9,609.75x = 21,307.50 × 21,307.50
4. Step 4: Simplify right side
   9,609.75x = 454,009,556.25
5. Step 5: Solve for x
   x = 454,009,556.25/9,609.75
6. Step 6: Final answer
   x = 47,244.68