Finding the Third Proportional to 8,389.63 and 17,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,389.63 : 17,642.50 = 17,642.50 : x
2. Step 2: Convert to fraction form
   8,389.63/17,642.50 = 17,642.50/x
3. Step 3: Cross multiply
   8,389.63x = 17,642.50 × 17,642.50
4. Step 4: Simplify right side
   8,389.63x = 311,257,806.25
5. Step 5: Solve for x
   x = 311,257,806.25/8,389.63
6. Step 6: Final answer
   x = 37,100.32