Finding the Third Proportional to 38,514 and 51,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,514 : 51,514.50 = 51,514.50 : x
2. Step 2: Convert to fraction form
   38,514/51,514.50 = 51,514.50/x
3. Step 3: Cross multiply
   38,514x = 51,514.50 × 51,514.50
4. Step 4: Simplify right side
   38,514x = 2,653,743,710.25
5. Step 5: Solve for x
   x = 2,653,743,710.25/38,514
6. Step 6: Final answer
   x = 68,903.35