Finding the Third Proportional to 10,538 and 15,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538 : 15,779.50 = 15,779.50 : x
2. Step 2: Convert to fraction form
   10,538/15,779.50 = 15,779.50/x
3. Step 3: Cross multiply
   10,538x = 15,779.50 × 15,779.50
4. Step 4: Simplify right side
   10,538x = 248,992,620.25
5. Step 5: Solve for x
   x = 248,992,620.25/10,538
6. Step 6: Final answer
   x = 23,628.07