Finding the Third Proportional to 5,097.75 and 7,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.75 : 7,878.50 = 7,878.50 : x
2. Step 2: Convert to fraction form
   5,097.75/7,878.50 = 7,878.50/x
3. Step 3: Cross multiply
   5,097.75x = 7,878.50 × 7,878.50
4. Step 4: Simplify right side
   5,097.75x = 62,070,762.25
5. Step 5: Solve for x
   x = 62,070,762.25/5,097.75
6. Step 6: Final answer
   x = 12,176.11