Finding the Third Proportional to 9,685.69 and 21,214.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.69 : 21,214.13 = 21,214.13 : x
2. Step 2: Convert to fraction form
   9,685.69/21,214.13 = 21,214.13/x
3. Step 3: Cross multiply
   9,685.69x = 21,214.13 × 21,214.13
4. Step 4: Simplify right side
   9,685.69x = 450,039,099.52
5. Step 5: Solve for x
   x = 450,039,099.52/9,685.69
6. Step 6: Final answer
   x = 46,464.34