Finding the Third Proportional to 2,953 and 3,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,953 : 3,967.50 = 3,967.50 : x
2. Step 2: Convert to fraction form
   2,953/3,967.50 = 3,967.50/x
3. Step 3: Cross multiply
   2,953x = 3,967.50 × 3,967.50
4. Step 4: Simplify right side
   2,953x = 15,741,056.25
5. Step 5: Solve for x
   x = 15,741,056.25/2,953
6. Step 6: Final answer
   x = 5,330.53