Finding the Third Proportional to 8,642.25 and 13,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,642.25 : 13,042.50 = 13,042.50 : x
2. Step 2: Convert to fraction form
   8,642.25/13,042.50 = 13,042.50/x
3. Step 3: Cross multiply
   8,642.25x = 13,042.50 × 13,042.50
4. Step 4: Simplify right side
   8,642.25x = 170,106,806.25
5. Step 5: Solve for x
   x = 170,106,806.25/8,642.25
6. Step 6: Final answer
   x = 19,683.16