Finding the Third Proportional to 6,938.58 and 10,580.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,938.58 : 10,580.63 = 10,580.63 : x
2. Step 2: Convert to fraction form
   6,938.58/10,580.63 = 10,580.63/x
3. Step 3: Cross multiply
   6,938.58x = 10,580.63 × 10,580.63
4. Step 4: Simplify right side
   6,938.58x = 111,949,625.39
5. Step 5: Solve for x
   x = 111,949,625.39/6,938.58
6. Step 6: Final answer
   x = 16,134.38