Finding the Third Proportional to 35,773.31 and 77,697.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,773.31 : 77,697.56 = 77,697.56 : x
2. Step 2: Convert to fraction form
   35,773.31/77,697.56 = 77,697.56/x
3. Step 3: Cross multiply
   35,773.31x = 77,697.56 × 77,697.56
4. Step 4: Simplify right side
   35,773.31x = 6,036,911,218.44
5. Step 5: Solve for x
   x = 6,036,911,218.44/35,773.31
6. Step 6: Final answer
   x = 168,754.60