Finding the Third Proportional to 5,626 and 13,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,626 : 13,436.50 = 13,436.50 : x
2. Step 2: Convert to fraction form
   5,626/13,436.50 = 13,436.50/x
3. Step 3: Cross multiply
   5,626x = 13,436.50 × 13,436.50
4. Step 4: Simplify right side
   5,626x = 180,539,532.25
5. Step 5: Solve for x
   x = 180,539,532.25/5,626
6. Step 6: Final answer
   x = 32,090.21