Finding the Third Proportional to 12,133 and 18,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,133 : 18,523.50 = 18,523.50 : x
2. Step 2: Convert to fraction form
   12,133/18,523.50 = 18,523.50/x
3. Step 3: Cross multiply
   12,133x = 18,523.50 × 18,523.50
4. Step 4: Simplify right side
   12,133x = 343,120,052.25
5. Step 5: Solve for x
   x = 343,120,052.25/12,133
6. Step 6: Final answer
   x = 28,279.90