Finding the Third Proportional to 38,646 and 81,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,646 : 81,514.50 = 81,514.50 : x
2. Step 2: Convert to fraction form
   38,646/81,514.50 = 81,514.50/x
3. Step 3: Cross multiply
   38,646x = 81,514.50 × 81,514.50
4. Step 4: Simplify right side
   38,646x = 6,644,613,710.25
5. Step 5: Solve for x
   x = 6,644,613,710.25/38,646
6. Step 6: Final answer
   x = 171,935.35