Finding the Third Proportional to 35,970 and 77,392

Step by Step Solution

1. Step 1: Write the proportion equation
   35,970 : 77,392 = 77,392 : x
2. Step 2: Convert to fraction form
   35,970/77,392 = 77,392/x
3. Step 3: Cross multiply
   35,970x = 77,392 × 77,392
4. Step 4: Simplify right side
   35,970x = 5,989,521,664
5. Step 5: Solve for x
   x = 5,989,521,664/35,970
6. Step 6: Final answer
   x = 166,514.36