Finding the Third Proportional to 9,986.63 and 21,819.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,986.63 : 21,819.38 = 21,819.38 : x
2. Step 2: Convert to fraction form
   9,986.63/21,819.38 = 21,819.38/x
3. Step 3: Cross multiply
   9,986.63x = 21,819.38 × 21,819.38
4. Step 4: Simplify right side
   9,986.63x = 476,085,125.39
5. Step 5: Solve for x
   x = 476,085,125.39/9,986.63
6. Step 6: Final answer
   x = 47,672.27