Finding the Third Proportional to 2,947 and 4,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,947 : 4,188.50 = 4,188.50 : x
2. Step 2: Convert to fraction form
   2,947/4,188.50 = 4,188.50/x
3. Step 3: Cross multiply
   2,947x = 4,188.50 × 4,188.50
4. Step 4: Simplify right side
   2,947x = 17,543,532.25
5. Step 5: Solve for x
   x = 17,543,532.25/2,947
6. Step 6: Final answer
   x = 5,953.01