Finding the Third Proportional to 9,801.75 and 21,380.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,801.75 : 21,380.63 = 21,380.63 : x
2. Step 2: Convert to fraction form
   9,801.75/21,380.63 = 21,380.63/x
3. Step 3: Cross multiply
   9,801.75x = 21,380.63 × 21,380.63
4. Step 4: Simplify right side
   9,801.75x = 457,131,125.39
5. Step 5: Solve for x
   x = 457,131,125.39/9,801.75
6. Step 6: Final answer
   x = 46,637.71