Finding the Third Proportional to 4,738.50 and 12,322.13

Step by Step Solution

1. Step 1: Write the proportion equation
   4,738.50 : 12,322.13 = 12,322.13 : x
2. Step 2: Convert to fraction form
   4,738.50/12,322.13 = 12,322.13/x
3. Step 3: Cross multiply
   4,738.50x = 12,322.13 × 12,322.13
4. Step 4: Simplify right side
   4,738.50x = 151,834,764.52
5. Step 5: Solve for x
   x = 151,834,764.52/4,738.50
6. Step 6: Final answer
   x = 32,042.79