Finding the Third Proportional to 3,570 and 7,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,570 : 7,687.50 = 7,687.50 : x
2. Step 2: Convert to fraction form
   3,570/7,687.50 = 7,687.50/x
3. Step 3: Cross multiply
   3,570x = 7,687.50 × 7,687.50
4. Step 4: Simplify right side
   3,570x = 59,097,656.25
5. Step 5: Solve for x
   x = 59,097,656.25/3,570
6. Step 6: Final answer
   x = 16,553.97