Finding the Third Proportional to 13,578 and 32,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,578 : 32,704.50 = 32,704.50 : x
2. Step 2: Convert to fraction form
   13,578/32,704.50 = 32,704.50/x
3. Step 3: Cross multiply
   13,578x = 32,704.50 × 32,704.50
4. Step 4: Simplify right side
   13,578x = 1,069,584,320.25
5. Step 5: Solve for x
   x = 1,069,584,320.25/13,578
6. Step 6: Final answer
   x = 78,773.33