Finding the Third Proportional to 5,066 and 7,930.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,066 : 7,930.50 = 7,930.50 : x
2. Step 2: Convert to fraction form
   5,066/7,930.50 = 7,930.50/x
3. Step 3: Cross multiply
   5,066x = 7,930.50 × 7,930.50
4. Step 4: Simplify right side
   5,066x = 62,892,830.25
5. Step 5: Solve for x
   x = 62,892,830.25/5,066
6. Step 6: Final answer
   x = 12,414.69