Finding the Third Proportional to 6,320 and 13,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,320 : 13,593.50 = 13,593.50 : x
2. Step 2: Convert to fraction form
   6,320/13,593.50 = 13,593.50/x
3. Step 3: Cross multiply
   6,320x = 13,593.50 × 13,593.50
4. Step 4: Simplify right side
   6,320x = 184,783,242.25
5. Step 5: Solve for x
   x = 184,783,242.25/6,320
6. Step 6: Final answer
   x = 29,237.85