Finding the Third Proportional to 10,780.25 and 23,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.25 : 23,261.50 = 23,261.50 : x
2. Step 2: Convert to fraction form
   10,780.25/23,261.50 = 23,261.50/x
3. Step 3: Cross multiply
   10,780.25x = 23,261.50 × 23,261.50
4. Step 4: Simplify right side
   10,780.25x = 541,097,382.25
5. Step 5: Solve for x
   x = 541,097,382.25/10,780.25
6. Step 6: Final answer
   x = 50,193.40