Finding the Third Proportional to 9,902.25 and 21,456.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.25 : 21,456.14 = 21,456.14 : x
2. Step 2: Convert to fraction form
   9,902.25/21,456.14 = 21,456.14/x
3. Step 3: Cross multiply
   9,902.25x = 21,456.14 × 21,456.14
4. Step 4: Simplify right side
   9,902.25x = 460,365,970.52
5. Step 5: Solve for x
   x = 460,365,970.52/9,902.25
6. Step 6: Final answer
   x = 46,491.05