Finding the Third Proportional to 10,578 and 13,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578 : 13,912.50 = 13,912.50 : x
2. Step 2: Convert to fraction form
   10,578/13,912.50 = 13,912.50/x
3. Step 3: Cross multiply
   10,578x = 13,912.50 × 13,912.50
4. Step 4: Simplify right side
   10,578x = 193,557,656.25
5. Step 5: Solve for x
   x = 193,557,656.25/10,578
6. Step 6: Final answer
   x = 18,298.13