Finding the Third Proportional to 49,069.75 and 75,514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,069.75 : 75,514.75 = 75,514.75 : x
2. Step 2: Convert to fraction form
   49,069.75/75,514.75 = 75,514.75/x
3. Step 3: Cross multiply
   49,069.75x = 75,514.75 × 75,514.75
4. Step 4: Simplify right side
   49,069.75x = 5,702,477,467.56
5. Step 5: Solve for x
   x = 5,702,477,467.56/49,069.75
6. Step 6: Final answer
   x = 116,211.67