Finding the Third Proportional to 9,689.63 and 18,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.63 : 18,164.25 = 18,164.25 : x
2. Step 2: Convert to fraction form
   9,689.63/18,164.25 = 18,164.25/x
3. Step 3: Cross multiply
   9,689.63x = 18,164.25 × 18,164.25
4. Step 4: Simplify right side
   9,689.63x = 329,939,978.06
5. Step 5: Solve for x
   x = 329,939,978.06/9,689.63
6. Step 6: Final answer
   x = 34,050.85