Finding the Third Proportional to 10,776.25 and 15,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,776.25 : 15,427.50 = 15,427.50 : x
2. Step 2: Convert to fraction form
   10,776.25/15,427.50 = 15,427.50/x
3. Step 3: Cross multiply
   10,776.25x = 15,427.50 × 15,427.50
4. Step 4: Simplify right side
   10,776.25x = 238,007,756.25
5. Step 5: Solve for x
   x = 238,007,756.25/10,776.25
6. Step 6: Final answer
   x = 22,086.32