Finding the Third Proportional to 35,533.69 and 77,331.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,533.69 : 77,331.38 = 77,331.38 : x
2. Step 2: Convert to fraction form
   35,533.69/77,331.38 = 77,331.38/x
3. Step 3: Cross multiply
   35,533.69x = 77,331.38 × 77,331.38
4. Step 4: Simplify right side
   35,533.69x = 5,980,141,559.39
5. Step 5: Solve for x
   x = 5,980,141,559.39/35,533.69
6. Step 6: Final answer
   x = 168,294.99