Finding the Third Proportional to 1,618.50 and 3,467.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,618.50 : 3,467.63 = 3,467.63 : x
2. Step 2: Convert to fraction form
   1,618.50/3,467.63 = 3,467.63/x
3. Step 3: Cross multiply
   1,618.50x = 3,467.63 × 3,467.63
4. Step 4: Simplify right side
   1,618.50x = 12,024,423.14
5. Step 5: Solve for x
   x = 12,024,423.14/1,618.50
6. Step 6: Final answer
   x = 7,429.36