Finding the Third Proportional to 35,973 and 77,130

Step by Step Solution

1. Step 1: Write the proportion equation
   35,973 : 77,130 = 77,130 : x
2. Step 2: Convert to fraction form
   35,973/77,130 = 77,130/x
3. Step 3: Cross multiply
   35,973x = 77,130 × 77,130
4. Step 4: Simplify right side
   35,973x = 5,949,036,900
5. Step 5: Solve for x
   x = 5,949,036,900/35,973
6. Step 6: Final answer
   x = 165,375.06