Finding the Third Proportional to 35,773.13 and 77,697.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,773.13 : 77,697.38 = 77,697.38 : x
2. Step 2: Convert to fraction form
   35,773.13/77,697.38 = 77,697.38/x
3. Step 3: Cross multiply
   35,773.13x = 77,697.38 × 77,697.38
4. Step 4: Simplify right side
   35,773.13x = 6,036,882,081.89
5. Step 5: Solve for x
   x = 6,036,882,081.89/35,773.13
6. Step 6: Final answer
   x = 168,754.67