Finding the Third Proportional to 5,578.50 and 13,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,578.50 : 13,528.50 = 13,528.50 : x
2. Step 2: Convert to fraction form
   5,578.50/13,528.50 = 13,528.50/x
3. Step 3: Cross multiply
   5,578.50x = 13,528.50 × 13,528.50
4. Step 4: Simplify right side
   5,578.50x = 183,020,312.25
5. Step 5: Solve for x
   x = 183,020,312.25/5,578.50
6. Step 6: Final answer
   x = 32,808.16