Finding the Third Proportional to 35,061 and 77,133

Step by Step Solution

1. Step 1: Write the proportion equation
   35,061 : 77,133 = 77,133 : x
2. Step 2: Convert to fraction form
   35,061/77,133 = 77,133/x
3. Step 3: Cross multiply
   35,061x = 77,133 × 77,133
4. Step 4: Simplify right side
   35,061x = 5,949,499,689
5. Step 5: Solve for x
   x = 5,949,499,689/35,061
6. Step 6: Final answer
   x = 169,689.96