Finding the Third Proportional to 6,507 and 10,091.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507 : 10,091.25 = 10,091.25 : x
2. Step 2: Convert to fraction form
   6,507/10,091.25 = 10,091.25/x
3. Step 3: Cross multiply
   6,507x = 10,091.25 × 10,091.25
4. Step 4: Simplify right side
   6,507x = 101,833,326.56
5. Step 5: Solve for x
   x = 101,833,326.56/6,507
6. Step 6: Final answer
   x = 15,649.81