Finding the Third Proportional to 10,780.31 and 23,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.31 : 23,564.25 = 23,564.25 : x
2. Step 2: Convert to fraction form
   10,780.31/23,564.25 = 23,564.25/x
3. Step 3: Cross multiply
   10,780.31x = 23,564.25 × 23,564.25
4. Step 4: Simplify right side
   10,780.31x = 555,273,878.06
5. Step 5: Solve for x
   x = 555,273,878.06/10,780.31
6. Step 6: Final answer
   x = 51,508.14