Finding the Third Proportional to 23,585.63 and 35,682.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,585.63 : 35,682.75 = 35,682.75 : x
2. Step 2: Convert to fraction form
   23,585.63/35,682.75 = 35,682.75/x
3. Step 3: Cross multiply
   23,585.63x = 35,682.75 × 35,682.75
4. Step 4: Simplify right side
   23,585.63x = 1,273,258,647.56
5. Step 5: Solve for x
   x = 1,273,258,647.56/23,585.63
6. Step 6: Final answer
   x = 53,984.52