Finding the Third Proportional to 23,265 and 31,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,265 : 31,276.50 = 31,276.50 : x
2. Step 2: Convert to fraction form
   23,265/31,276.50 = 31,276.50/x
3. Step 3: Cross multiply
   23,265x = 31,276.50 × 31,276.50
4. Step 4: Simplify right side
   23,265x = 978,219,452.25
5. Step 5: Solve for x
   x = 978,219,452.25/23,265
6. Step 6: Final answer
   x = 42,046.83