Finding the Third Proportional to 23,784.75 and 31,281.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,784.75 : 31,281.75 = 31,281.75 : x
2. Step 2: Convert to fraction form
   23,784.75/31,281.75 = 31,281.75/x
3. Step 3: Cross multiply
   23,784.75x = 31,281.75 × 31,281.75
4. Step 4: Simplify right side
   23,784.75x = 978,547,883.06
5. Step 5: Solve for x
   x = 978,547,883.06/23,784.75
6. Step 6: Final answer
   x = 41,141.82