Finding the Third Proportional to 9,460.50 and 13,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,460.50 : 13,314.75 = 13,314.75 : x
2. Step 2: Convert to fraction form
   9,460.50/13,314.75 = 13,314.75/x
3. Step 3: Cross multiply
   9,460.50x = 13,314.75 × 13,314.75
4. Step 4: Simplify right side
   9,460.50x = 177,282,567.56
5. Step 5: Solve for x
   x = 177,282,567.56/9,460.50
6. Step 6: Final answer
   x = 18,739.24