Finding the Third Proportional to 10,756.50 and 15,782.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,756.50 : 15,782.25 = 15,782.25 : x
2. Step 2: Convert to fraction form
   10,756.50/15,782.25 = 15,782.25/x
3. Step 3: Cross multiply
   10,756.50x = 15,782.25 × 15,782.25
4. Step 4: Simplify right side
   10,756.50x = 249,079,415.06
5. Step 5: Solve for x
   x = 249,079,415.06/10,756.50
6. Step 6: Final answer
   x = 23,156.18