Finding the Third Proportional to 37,109.50 and 75,514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,109.50 : 75,514.75 = 75,514.75 : x
2. Step 2: Convert to fraction form
   37,109.50/75,514.75 = 75,514.75/x
3. Step 3: Cross multiply
   37,109.50x = 75,514.75 × 75,514.75
4. Step 4: Simplify right side
   37,109.50x = 5,702,477,467.56
5. Step 5: Solve for x
   x = 5,702,477,467.56/37,109.50
6. Step 6: Final answer
   x = 153,666.24