Finding the Third Proportional to 35,404 and 77,052

Step by Step Solution

1. Step 1: Write the proportion equation
   35,404 : 77,052 = 77,052 : x
2. Step 2: Convert to fraction form
   35,404/77,052 = 77,052/x
3. Step 3: Cross multiply
   35,404x = 77,052 × 77,052
4. Step 4: Simplify right side
   35,404x = 5,937,010,704
5. Step 5: Solve for x
   x = 5,937,010,704/35,404
6. Step 6: Final answer
   x = 167,693.22