Finding the Third Proportional to 35,803.69 and 77,421.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,803.69 : 77,421.56 = 77,421.56 : x
2. Step 2: Convert to fraction form
   35,803.69/77,421.56 = 77,421.56/x
3. Step 3: Cross multiply
   35,803.69x = 77,421.56 × 77,421.56
4. Step 4: Simplify right side
   35,803.69x = 5,994,098,339.94
5. Step 5: Solve for x
   x = 5,994,098,339.94/35,803.69
6. Step 6: Final answer
   x = 167,415.67