Finding the Third Proportional to 1,477.50 and 3,483.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.50 : 3,483.75 = 3,483.75 : x
2. Step 2: Convert to fraction form
   1,477.50/3,483.75 = 3,483.75/x
3. Step 3: Cross multiply
   1,477.50x = 3,483.75 × 3,483.75
4. Step 4: Simplify right side
   1,477.50x = 12,136,514.06
5. Step 5: Solve for x
   x = 12,136,514.06/1,477.50
6. Step 6: Final answer
   x = 8,214.22