Finding the Third Proportional to 5,097 and 8,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097 : 8,068.50 = 8,068.50 : x
2. Step 2: Convert to fraction form
   5,097/8,068.50 = 8,068.50/x
3. Step 3: Cross multiply
   5,097x = 8,068.50 × 8,068.50
4. Step 4: Simplify right side
   5,097x = 65,100,692.25
5. Step 5: Solve for x
   x = 65,100,692.25/5,097
6. Step 6: Final answer
   x = 12,772.35