Finding the Third Proportional to 3,646 and 7,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646 : 7,992.50 = 7,992.50 : x
2. Step 2: Convert to fraction form
   3,646/7,992.50 = 7,992.50/x
3. Step 3: Cross multiply
   3,646x = 7,992.50 × 7,992.50
4. Step 4: Simplify right side
   3,646x = 63,880,056.25
5. Step 5: Solve for x
   x = 63,880,056.25/3,646
6. Step 6: Final answer
   x = 17,520.59