Finding the Third Proportional to 9,691.50 and 21,204.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,691.50 : 21,204.75 = 21,204.75 : x
2. Step 2: Convert to fraction form
   9,691.50/21,204.75 = 21,204.75/x
3. Step 3: Cross multiply
   9,691.50x = 21,204.75 × 21,204.75
4. Step 4: Simplify right side
   9,691.50x = 449,641,422.56
5. Step 5: Solve for x
   x = 449,641,422.56/9,691.50
6. Step 6: Final answer
   x = 46,395.44