Finding the Third Proportional to 9,384 and 13,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384 : 13,264.50 = 13,264.50 : x
2. Step 2: Convert to fraction form
   9,384/13,264.50 = 13,264.50/x
3. Step 3: Cross multiply
   9,384x = 13,264.50 × 13,264.50
4. Step 4: Simplify right side
   9,384x = 175,946,960.25
5. Step 5: Solve for x
   x = 175,946,960.25/9,384
6. Step 6: Final answer
   x = 18,749.68