Finding the Third Proportional to 5,075.72 and 10,706.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,075.72 : 10,706.77 = 10,706.77 : x
2. Step 2: Convert to fraction form
   5,075.72/10,706.77 = 10,706.77/x
3. Step 3: Cross multiply
   5,075.72x = 10,706.77 × 10,706.77
4. Step 4: Simplify right side
   5,075.72x = 114,634,830.15
5. Step 5: Solve for x
   x = 114,634,830.15/5,075.72
6. Step 6: Final answer
   x = 22,584.95