Finding the Third Proportional to 13,567.50 and 32,680.13

Step by Step Solution

1. Step 1: Write the proportion equation
   13,567.50 : 32,680.13 = 32,680.13 : x
2. Step 2: Convert to fraction form
   13,567.50/32,680.13 = 32,680.13/x
3. Step 3: Cross multiply
   13,567.50x = 32,680.13 × 32,680.13
4. Step 4: Simplify right side
   13,567.50x = 1,067,990,570.02
5. Step 5: Solve for x
   x = 1,067,990,570.02/13,567.50
6. Step 6: Final answer
   x = 78,716.83