Finding the Third Proportional to 1,699.50 and 3,580.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,699.50 : 3,580.13 = 3,580.13 : x
2. Step 2: Convert to fraction form
   1,699.50/3,580.13 = 3,580.13/x
3. Step 3: Cross multiply
   1,699.50x = 3,580.13 × 3,580.13
4. Step 4: Simplify right side
   1,699.50x = 12,817,295.02
5. Step 5: Solve for x
   x = 12,817,295.02/1,699.50
6. Step 6: Final answer
   x = 7,541.80