Finding the Third Proportional to 1,637.40 and 3,533.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,637.40 : 3,533.94 = 3,533.94 : x
2. Step 2: Convert to fraction form
   1,637.40/3,533.94 = 3,533.94/x
3. Step 3: Cross multiply
   1,637.40x = 3,533.94 × 3,533.94
4. Step 4: Simplify right side
   1,637.40x = 12,488,741.86
5. Step 5: Solve for x
   x = 12,488,741.86/1,637.40
6. Step 6: Final answer
   x = 7,627.17