Finding the Third Proportional to 35,026 and 76,007

Step by Step Solution

1. Step 1: Write the proportion equation
   35,026 : 76,007 = 76,007 : x
2. Step 2: Convert to fraction form
   35,026/76,007 = 76,007/x
3. Step 3: Cross multiply
   35,026x = 76,007 × 76,007
4. Step 4: Simplify right side
   35,026x = 5,777,064,049
5. Step 5: Solve for x
   x = 5,777,064,049/35,026
6. Step 6: Final answer
   x = 164,936.45