Finding the Third Proportional to 35,698 and 76,760

Step by Step Solution

1. Step 1: Write the proportion equation
   35,698 : 76,760 = 76,760 : x
2. Step 2: Convert to fraction form
   35,698/76,760 = 76,760/x
3. Step 3: Cross multiply
   35,698x = 76,760 × 76,760
4. Step 4: Simplify right side
   35,698x = 5,892,097,600
5. Step 5: Solve for x
   x = 5,892,097,600/35,698
6. Step 6: Final answer
   x = 165,054.00