Finding the Third Proportional to 27,838.69 and 32,698.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27,838.69 : 32,698.69 = 32,698.69 : x
2. Step 2: Convert to fraction form
   27,838.69/32,698.69 = 32,698.69/x
3. Step 3: Cross multiply
   27,838.69x = 32,698.69 × 32,698.69
4. Step 4: Simplify right side
   27,838.69x = 1,069,204,164.22
5. Step 5: Solve for x
   x = 1,069,204,164.22/27,838.69
6. Step 6: Final answer
   x = 38,407.13