Finding the Third Proportional to 12,274.50 and 16,323

Step by Step Solution

1. Step 1: Write the proportion equation
   12,274.50 : 16,323 = 16,323 : x
2. Step 2: Convert to fraction form
   12,274.50/16,323 = 16,323/x
3. Step 3: Cross multiply
   12,274.50x = 16,323 × 16,323
4. Step 4: Simplify right side
   12,274.50x = 266,440,329
5. Step 5: Solve for x
   x = 266,440,329/12,274.50
6. Step 6: Final answer
   x = 21,706.82