Finding the Third Proportional to 10,742.25 and 23,276.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.25 : 23,276.75 = 23,276.75 : x
2. Step 2: Convert to fraction form
   10,742.25/23,276.75 = 23,276.75/x
3. Step 3: Cross multiply
   10,742.25x = 23,276.75 × 23,276.75
4. Step 4: Simplify right side
   10,742.25x = 541,807,090.56
5. Step 5: Solve for x
   x = 541,807,090.56/10,742.25
6. Step 6: Final answer
   x = 50,437.02