Finding the Third Proportional to 9,914.50 and 13,596

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.50 : 13,596 = 13,596 : x
2. Step 2: Convert to fraction form
   9,914.50/13,596 = 13,596/x
3. Step 3: Cross multiply
   9,914.50x = 13,596 × 13,596
4. Step 4: Simplify right side
   9,914.50x = 184,851,216
5. Step 5: Solve for x
   x = 184,851,216/9,914.50
6. Step 6: Final answer
   x = 18,644.53