Finding the Third Proportional to 35,922 and 78,061

Step by Step Solution

1. Step 1: Write the proportion equation
   35,922 : 78,061 = 78,061 : x
2. Step 2: Convert to fraction form
   35,922/78,061 = 78,061/x
3. Step 3: Cross multiply
   35,922x = 78,061 × 78,061
4. Step 4: Simplify right side
   35,922x = 6,093,519,721
5. Step 5: Solve for x
   x = 6,093,519,721/35,922
6. Step 6: Final answer
   x = 169,631.97