Finding the Third Proportional to 35,385 and 77,333

Step by Step Solution

1. Step 1: Write the proportion equation
   35,385 : 77,333 = 77,333 : x
2. Step 2: Convert to fraction form
   35,385/77,333 = 77,333/x
3. Step 3: Cross multiply
   35,385x = 77,333 × 77,333
4. Step 4: Simplify right side
   35,385x = 5,980,392,889
5. Step 5: Solve for x
   x = 5,980,392,889/35,385
6. Step 6: Final answer
   x = 169,009.27