Finding the Third Proportional to 9,730.13 and 18,685.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,730.13 : 18,685.69 = 18,685.69 : x
2. Step 2: Convert to fraction form
   9,730.13/18,685.69 = 18,685.69/x
3. Step 3: Cross multiply
   9,730.13x = 18,685.69 × 18,685.69
4. Step 4: Simplify right side
   9,730.13x = 349,154,917.35
5. Step 5: Solve for x
   x = 349,154,917.35/9,730.13
6. Step 6: Final answer
   x = 35,883.91