Finding the Third Proportional to 1,582.50 and 3,118.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.50 : 3,118.88 = 3,118.88 : x
2. Step 2: Convert to fraction form
   1,582.50/3,118.88 = 3,118.88/x
3. Step 3: Cross multiply
   1,582.50x = 3,118.88 × 3,118.88
4. Step 4: Simplify right side
   1,582.50x = 9,727,381.27
5. Step 5: Solve for x
   x = 9,727,381.27/1,582.50
6. Step 6: Final answer
   x = 6,146.84