Finding the Third Proportional to 9,677.25 and 21,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.25 : 21,199.50 = 21,199.50 : x
2. Step 2: Convert to fraction form
   9,677.25/21,199.50 = 21,199.50/x
3. Step 3: Cross multiply
   9,677.25x = 21,199.50 × 21,199.50
4. Step 4: Simplify right side
   9,677.25x = 449,418,800.25
5. Step 5: Solve for x
   x = 449,418,800.25/9,677.25
6. Step 6: Final answer
   x = 46,440.76