Finding the Third Proportional to 35,138.81 and 76,514.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,138.81 : 76,514.63 = 76,514.63 : x
2. Step 2: Convert to fraction form
   35,138.81/76,514.63 = 76,514.63/x
3. Step 3: Cross multiply
   35,138.81x = 76,514.63 × 76,514.63
4. Step 4: Simplify right side
   35,138.81x = 5,854,487,838.89
5. Step 5: Solve for x
   x = 5,854,487,838.89/35,138.81
6. Step 6: Final answer
   x = 166,610.29