Finding the Third Proportional to 9,738 and 22,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 22,603.50 = 22,603.50 : x
2. Step 2: Convert to fraction form
   9,738/22,603.50 = 22,603.50/x
3. Step 3: Cross multiply
   9,738x = 22,603.50 × 22,603.50
4. Step 4: Simplify right side
   9,738x = 510,918,212.25
5. Step 5: Solve for x
   x = 510,918,212.25/9,738
6. Step 6: Final answer
   x = 52,466.44