Finding the Third Proportional to 27,636.19 and 38,535.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,636.19 : 38,535.75 = 38,535.75 : x
2. Step 2: Convert to fraction form
   27,636.19/38,535.75 = 38,535.75/x
3. Step 3: Cross multiply
   27,636.19x = 38,535.75 × 38,535.75
4. Step 4: Simplify right side
   27,636.19x = 1,485,004,028.06
5. Step 5: Solve for x
   x = 1,485,004,028.06/27,636.19
6. Step 6: Final answer
   x = 53,734.04