Finding the Third Proportional to 12,541.50 and 18,437.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,541.50 : 18,437.63 = 18,437.63 : x
2. Step 2: Convert to fraction form
   12,541.50/18,437.63 = 18,437.63/x
3. Step 3: Cross multiply
   12,541.50x = 18,437.63 × 18,437.63
4. Step 4: Simplify right side
   12,541.50x = 339,946,015.64
5. Step 5: Solve for x
   x = 339,946,015.64/12,541.50
6. Step 6: Final answer
   x = 27,105.69