Finding the Third Proportional to 9,852.25 and 21,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852.25 : 21,618.50 = 21,618.50 : x
2. Step 2: Convert to fraction form
   9,852.25/21,618.50 = 21,618.50/x
3. Step 3: Cross multiply
   9,852.25x = 21,618.50 × 21,618.50
4. Step 4: Simplify right side
   9,852.25x = 467,359,542.25
5. Step 5: Solve for x
   x = 467,359,542.25/9,852.25
6. Step 6: Final answer
   x = 47,436.83