Finding the Third Proportional to 35,272 and 77,026

Step by Step Solution

1. Step 1: Write the proportion equation
   35,272 : 77,026 = 77,026 : x
2. Step 2: Convert to fraction form
   35,272/77,026 = 77,026/x
3. Step 3: Cross multiply
   35,272x = 77,026 × 77,026
4. Step 4: Simplify right side
   35,272x = 5,933,004,676
5. Step 5: Solve for x
   x = 5,933,004,676/35,272
6. Step 6: Final answer
   x = 168,207.21