Finding the Third Proportional to 35,554.50 and 76,797

Step by Step Solution

1. Step 1: Write the proportion equation
   35,554.50 : 76,797 = 76,797 : x
2. Step 2: Convert to fraction form
   35,554.50/76,797 = 76,797/x
3. Step 3: Cross multiply
   35,554.50x = 76,797 × 76,797
4. Step 4: Simplify right side
   35,554.50x = 5,897,779,209
5. Step 5: Solve for x
   x = 5,897,779,209/35,554.50
6. Step 6: Final answer
   x = 165,879.96