Finding the Third Proportional to 35,582 and 77,008

Step by Step Solution

1. Step 1: Write the proportion equation
   35,582 : 77,008 = 77,008 : x
2. Step 2: Convert to fraction form
   35,582/77,008 = 77,008/x
3. Step 3: Cross multiply
   35,582x = 77,008 × 77,008
4. Step 4: Simplify right side
   35,582x = 5,930,232,064
5. Step 5: Solve for x
   x = 5,930,232,064/35,582
6. Step 6: Final answer
   x = 166,663.82