Finding the Third Proportional to 6,580.50 and 13,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,580.50 : 13,897.50 = 13,897.50 : x
2. Step 2: Convert to fraction form
   6,580.50/13,897.50 = 13,897.50/x
3. Step 3: Cross multiply
   6,580.50x = 13,897.50 × 13,897.50
4. Step 4: Simplify right side
   6,580.50x = 193,140,506.25
5. Step 5: Solve for x
   x = 193,140,506.25/6,580.50
6. Step 6: Final answer
   x = 29,350.43