Finding the Third Proportional to 35,061 and 77,134

Step by Step Solution

1. Step 1: Write the proportion equation
   35,061 : 77,134 = 77,134 : x
2. Step 2: Convert to fraction form
   35,061/77,134 = 77,134/x
3. Step 3: Cross multiply
   35,061x = 77,134 × 77,134
4. Step 4: Simplify right side
   35,061x = 5,949,653,956
5. Step 5: Solve for x
   x = 5,949,653,956/35,061
6. Step 6: Final answer
   x = 169,694.36