Finding the Third Proportional to 9,802.13 and 21,314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.13 : 21,314.25 = 21,314.25 : x
2. Step 2: Convert to fraction form
   9,802.13/21,314.25 = 21,314.25/x
3. Step 3: Cross multiply
   9,802.13x = 21,314.25 × 21,314.25
4. Step 4: Simplify right side
   9,802.13x = 454,297,253.06
5. Step 5: Solve for x
   x = 454,297,253.06/9,802.13
6. Step 6: Final answer
   x = 46,346.81