Finding the Third Proportional to 9,847.50 and 14,973.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,847.50 : 14,973.75 = 14,973.75 : x
2. Step 2: Convert to fraction form
   9,847.50/14,973.75 = 14,973.75/x
3. Step 3: Cross multiply
   9,847.50x = 14,973.75 × 14,973.75
4. Step 4: Simplify right side
   9,847.50x = 224,213,189.06
5. Step 5: Solve for x
   x = 224,213,189.06/9,847.50
6. Step 6: Final answer
   x = 22,768.54