Finding the Third Proportional to 13,830.75 and 32,514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.75 : 32,514.75 = 32,514.75 : x
2. Step 2: Convert to fraction form
   13,830.75/32,514.75 = 32,514.75/x
3. Step 3: Cross multiply
   13,830.75x = 32,514.75 × 32,514.75
4. Step 4: Simplify right side
   13,830.75x = 1,057,208,967.56
5. Step 5: Solve for x
   x = 1,057,208,967.56/13,830.75
6. Step 6: Final answer
   x = 76,439.02