Finding the Third Proportional to 14,580.38 and 22,514.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,580.38 : 22,514.63 = 22,514.63 : x
2. Step 2: Convert to fraction form
   14,580.38/22,514.63 = 22,514.63/x
3. Step 3: Cross multiply
   14,580.38x = 22,514.63 × 22,514.63
4. Step 4: Simplify right side
   14,580.38x = 506,908,338.89
5. Step 5: Solve for x
   x = 506,908,338.89/14,580.38
6. Step 6: Final answer
   x = 34,766.48