Finding the Third Proportional to 6,402.50 and 13,538

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402.50 : 13,538 = 13,538 : x
2. Step 2: Convert to fraction form
   6,402.50/13,538 = 13,538/x
3. Step 3: Cross multiply
   6,402.50x = 13,538 × 13,538
4. Step 4: Simplify right side
   6,402.50x = 183,277,444
5. Step 5: Solve for x
   x = 183,277,444/6,402.50
6. Step 6: Final answer
   x = 28,625.92