Finding the Third Proportional to 38,380.50 and 59,514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,380.50 : 59,514.75 = 59,514.75 : x
2. Step 2: Convert to fraction form
   38,380.50/59,514.75 = 59,514.75/x
3. Step 3: Cross multiply
   38,380.50x = 59,514.75 × 59,514.75
4. Step 4: Simplify right side
   38,380.50x = 3,542,005,467.56
5. Step 5: Solve for x
   x = 3,542,005,467.56/38,380.50
6. Step 6: Final answer
   x = 92,286.59