Finding the Third Proportional to 3,389.50 and 5,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,389.50 : 5,312.50 = 5,312.50 : x
2. Step 2: Convert to fraction form
   3,389.50/5,312.50 = 5,312.50/x
3. Step 3: Cross multiply
   3,389.50x = 5,312.50 × 5,312.50
4. Step 4: Simplify right side
   3,389.50x = 28,222,656.25
5. Step 5: Solve for x
   x = 28,222,656.25/3,389.50
6. Step 6: Final answer
   x = 8,326.50