Finding the Third Proportional to 9,774.75 and 21,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.75 : 21,493.50 = 21,493.50 : x
2. Step 2: Convert to fraction form
   9,774.75/21,493.50 = 21,493.50/x
3. Step 3: Cross multiply
   9,774.75x = 21,493.50 × 21,493.50
4. Step 4: Simplify right side
   9,774.75x = 461,970,542.25
5. Step 5: Solve for x
   x = 461,970,542.25/9,774.75
6. Step 6: Final answer
   x = 47,261.62