Finding the Third Proportional to 35,508.38 and 77,562.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,508.38 : 77,562.56 = 77,562.56 : x
2. Step 2: Convert to fraction form
   35,508.38/77,562.56 = 77,562.56/x
3. Step 3: Cross multiply
   35,508.38x = 77,562.56 × 77,562.56
4. Step 4: Simplify right side
   35,508.38x = 6,015,951,101.57
5. Step 5: Solve for x
   x = 6,015,951,101.57/35,508.38
6. Step 6: Final answer
   x = 169,423.44