Finding the Third Proportional to 18,409.50 and 39,731.63

Step by Step Solution

1. Step 1: Write the proportion equation
   18,409.50 : 39,731.63 = 39,731.63 : x
2. Step 2: Convert to fraction form
   18,409.50/39,731.63 = 39,731.63/x
3. Step 3: Cross multiply
   18,409.50x = 39,731.63 × 39,731.63
4. Step 4: Simplify right side
   18,409.50x = 1,578,602,025.14
5. Step 5: Solve for x
   x = 1,578,602,025.14/18,409.50
6. Step 6: Final answer
   x = 85,749.32