Finding the Third Proportional to 9,492 and 14,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,492 : 14,185.50 = 14,185.50 : x
2. Step 2: Convert to fraction form
   9,492/14,185.50 = 14,185.50/x
3. Step 3: Cross multiply
   9,492x = 14,185.50 × 14,185.50
4. Step 4: Simplify right side
   9,492x = 201,228,410.25
5. Step 5: Solve for x
   x = 201,228,410.25/9,492
6. Step 6: Final answer
   x = 21,199.79