Finding the Third Proportional to 10,971 and 23,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971 : 23,764.50 = 23,764.50 : x
2. Step 2: Convert to fraction form
   10,971/23,764.50 = 23,764.50/x
3. Step 3: Cross multiply
   10,971x = 23,764.50 × 23,764.50
4. Step 4: Simplify right side
   10,971x = 564,751,460.25
5. Step 5: Solve for x
   x = 564,751,460.25/10,971
6. Step 6: Final answer
   x = 51,476.75