Finding the Third Proportional to 1,957.50 and 4,199.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,957.50 : 4,199.77 = 4,199.77 : x
2. Step 2: Convert to fraction form
   1,957.50/4,199.77 = 4,199.77/x
3. Step 3: Cross multiply
   1,957.50x = 4,199.77 × 4,199.77
4. Step 4: Simplify right side
   1,957.50x = 17,638,031.30
5. Step 5: Solve for x
   x = 17,638,031.30/1,957.50
6. Step 6: Final answer
   x = 9,010.49