Finding the Third Proportional to 5,947.50 and 8,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,947.50 : 8,938.50 = 8,938.50 : x
2. Step 2: Convert to fraction form
   5,947.50/8,938.50 = 8,938.50/x
3. Step 3: Cross multiply
   5,947.50x = 8,938.50 × 8,938.50
4. Step 4: Simplify right side
   5,947.50x = 79,896,782.25
5. Step 5: Solve for x
   x = 79,896,782.25/5,947.50
6. Step 6: Final answer
   x = 13,433.68