Finding the Third Proportional to 6,172.50 and 13,580.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,172.50 : 13,580.25 = 13,580.25 : x
2. Step 2: Convert to fraction form
   6,172.50/13,580.25 = 13,580.25/x
3. Step 3: Cross multiply
   6,172.50x = 13,580.25 × 13,580.25
4. Step 4: Simplify right side
   6,172.50x = 184,423,190.06
5. Step 5: Solve for x
   x = 184,423,190.06/6,172.50
6. Step 6: Final answer
   x = 29,878.20