Finding the Third Proportional to 23,400 and 31,767.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,400 : 31,767.75 = 31,767.75 : x
2. Step 2: Convert to fraction form
   23,400/31,767.75 = 31,767.75/x
3. Step 3: Cross multiply
   23,400x = 31,767.75 × 31,767.75
4. Step 4: Simplify right side
   23,400x = 1,009,189,940.06
5. Step 5: Solve for x
   x = 1,009,189,940.06/23,400
6. Step 6: Final answer
   x = 43,127.78