Finding the Third Proportional to 9,681 and 21,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,681 : 21,184.50 = 21,184.50 : x
2. Step 2: Convert to fraction form
   9,681/21,184.50 = 21,184.50/x
3. Step 3: Cross multiply
   9,681x = 21,184.50 × 21,184.50
4. Step 4: Simplify right side
   9,681x = 448,783,040.25
5. Step 5: Solve for x
   x = 448,783,040.25/9,681
6. Step 6: Final answer
   x = 46,357.10