Finding the Third Proportional to 35,776.69 and 77,704.31

Step by Step Solution

1. Step 1: Write the proportion equation
   35,776.69 : 77,704.31 = 77,704.31 : x
2. Step 2: Convert to fraction form
   35,776.69/77,704.31 = 77,704.31/x
3. Step 3: Cross multiply
   35,776.69x = 77,704.31 × 77,704.31
4. Step 4: Simplify right side
   35,776.69x = 6,037,960,181.10
5. Step 5: Solve for x
   x = 6,037,960,181.10/35,776.69
6. Step 6: Final answer
   x = 168,768.01