Finding the Third Proportional to 3,085.50 and 4,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,085.50 : 4,657.50 = 4,657.50 : x
2. Step 2: Convert to fraction form
   3,085.50/4,657.50 = 4,657.50/x
3. Step 3: Cross multiply
   3,085.50x = 4,657.50 × 4,657.50
4. Step 4: Simplify right side
   3,085.50x = 21,692,306.25
5. Step 5: Solve for x
   x = 21,692,306.25/3,085.50
6. Step 6: Final answer
   x = 7,030.40