Finding the Third Proportional to 9,185.63 and 10,005.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.63 : 10,005.75 = 10,005.75 : x
2. Step 2: Convert to fraction form
   9,185.63/10,005.75 = 10,005.75/x
3. Step 3: Cross multiply
   9,185.63x = 10,005.75 × 10,005.75
4. Step 4: Simplify right side
   9,185.63x = 100,115,033.06
5. Step 5: Solve for x
   x = 100,115,033.06/9,185.63
6. Step 6: Final answer
   x = 10,899.10