Finding the Third Proportional to 9,834.75 and 14,630.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.75 : 14,630.63 = 14,630.63 : x
2. Step 2: Convert to fraction form
   9,834.75/14,630.63 = 14,630.63/x
3. Step 3: Cross multiply
   9,834.75x = 14,630.63 × 14,630.63
4. Step 4: Simplify right side
   9,834.75x = 214,055,187.89
5. Step 5: Solve for x
   x = 214,055,187.89/9,834.75
6. Step 6: Final answer
   x = 21,765.19