Finding the Third Proportional to 7,878 and 10,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878 : 10,513.50 = 10,513.50 : x
2. Step 2: Convert to fraction form
   7,878/10,513.50 = 10,513.50/x
3. Step 3: Cross multiply
   7,878x = 10,513.50 × 10,513.50
4. Step 4: Simplify right side
   7,878x = 110,533,682.25
5. Step 5: Solve for x
   x = 110,533,682.25/7,878
6. Step 6: Final answer
   x = 14,030.68