Finding the Third Proportional to 9,796.50 and 14,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796.50 : 14,938.50 = 14,938.50 : x
2. Step 2: Convert to fraction form
   9,796.50/14,938.50 = 14,938.50/x
3. Step 3: Cross multiply
   9,796.50x = 14,938.50 × 14,938.50
4. Step 4: Simplify right side
   9,796.50x = 223,158,782.25
5. Step 5: Solve for x
   x = 223,158,782.25/9,796.50
6. Step 6: Final answer
   x = 22,779.44