Finding the Third Proportional to 23,698.13 and 35,697.38

Step by Step Solution

1. Step 1: Write the proportion equation
   23,698.13 : 35,697.38 = 35,697.38 : x
2. Step 2: Convert to fraction form
   23,698.13/35,697.38 = 35,697.38/x
3. Step 3: Cross multiply
   23,698.13x = 35,697.38 × 35,697.38
4. Step 4: Simplify right side
   23,698.13x = 1,274,302,581.89
5. Step 5: Solve for x
   x = 1,274,302,581.89/23,698.13
6. Step 6: Final answer
   x = 53,772.30