Finding the Third Proportional to 1,597.50 and 3,499.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,597.50 : 3,499.13 = 3,499.13 : x
2. Step 2: Convert to fraction form
   1,597.50/3,499.13 = 3,499.13/x
3. Step 3: Cross multiply
   1,597.50x = 3,499.13 × 3,499.13
4. Step 4: Simplify right side
   1,597.50x = 12,243,875.77
5. Step 5: Solve for x
   x = 12,243,875.77/1,597.50
6. Step 6: Final answer
   x = 7,664.40