Finding the Third Proportional to 35,408 and 77,060

Step by Step Solution

1. Step 1: Write the proportion equation
   35,408 : 77,060 = 77,060 : x
2. Step 2: Convert to fraction form
   35,408/77,060 = 77,060/x
3. Step 3: Cross multiply
   35,408x = 77,060 × 77,060
4. Step 4: Simplify right side
   35,408x = 5,938,243,600
5. Step 5: Solve for x
   x = 5,938,243,600/35,408
6. Step 6: Final answer
   x = 167,709.09