Finding the Third Proportional to 9,914.25 and 14,597.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.25 : 14,597.25 = 14,597.25 : x
2. Step 2: Convert to fraction form
   9,914.25/14,597.25 = 14,597.25/x
3. Step 3: Cross multiply
   9,914.25x = 14,597.25 × 14,597.25
4. Step 4: Simplify right side
   9,914.25x = 213,079,707.56
5. Step 5: Solve for x
   x = 213,079,707.56/9,914.25
6. Step 6: Final answer
   x = 21,492.27