Finding the Third Proportional to 6,548.63 and 10,034.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,548.63 : 10,034.06 = 10,034.06 : x
2. Step 2: Convert to fraction form
   6,548.63/10,034.06 = 10,034.06/x
3. Step 3: Cross multiply
   6,548.63x = 10,034.06 × 10,034.06
4. Step 4: Simplify right side
   6,548.63x = 100,682,410.25
5. Step 5: Solve for x
   x = 100,682,410.25/6,548.63
6. Step 6: Final answer
   x = 15,374.59