Finding the Third Proportional to 6,512.63 and 10,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,512.63 : 10,039.50 = 10,039.50 : x
2. Step 2: Convert to fraction form
   6,512.63/10,039.50 = 10,039.50/x
3. Step 3: Cross multiply
   6,512.63x = 10,039.50 × 10,039.50
4. Step 4: Simplify right side
   6,512.63x = 100,791,560.25
5. Step 5: Solve for x
   x = 100,791,560.25/6,512.63
6. Step 6: Final answer
   x = 15,476.33