Finding the Third Proportional to 6,532 and 14,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,532 : 14,157.50 = 14,157.50 : x
2. Step 2: Convert to fraction form
   6,532/14,157.50 = 14,157.50/x
3. Step 3: Cross multiply
   6,532x = 14,157.50 × 14,157.50
4. Step 4: Simplify right side
   6,532x = 200,434,806.25
5. Step 5: Solve for x
   x = 200,434,806.25/6,532
6. Step 6: Final answer
   x = 30,685.06