Finding the Third Proportional to 12,538.75 and 18,423.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538.75 : 18,423.63 = 18,423.63 : x
2. Step 2: Convert to fraction form
   12,538.75/18,423.63 = 18,423.63/x
3. Step 3: Cross multiply
   12,538.75x = 18,423.63 × 18,423.63
4. Step 4: Simplify right side
   12,538.75x = 339,429,958.14
5. Step 5: Solve for x
   x = 339,429,958.14/12,538.75
6. Step 6: Final answer
   x = 27,070.48