Finding the Third Proportional to 1,692.50 and 4,003.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,692.50 : 4,003.25 = 4,003.25 : x
2. Step 2: Convert to fraction form
   1,692.50/4,003.25 = 4,003.25/x
3. Step 3: Cross multiply
   1,692.50x = 4,003.25 × 4,003.25
4. Step 4: Simplify right side
   1,692.50x = 16,026,010.56
5. Step 5: Solve for x
   x = 16,026,010.56/1,692.50
6. Step 6: Final answer
   x = 9,468.84