Finding the Third Proportional to 34,913 and 76,333

Step by Step Solution

1. Step 1: Write the proportion equation
   34,913 : 76,333 = 76,333 : x
2. Step 2: Convert to fraction form
   34,913/76,333 = 76,333/x
3. Step 3: Cross multiply
   34,913x = 76,333 × 76,333
4. Step 4: Simplify right side
   34,913x = 5,826,726,889
5. Step 5: Solve for x
   x = 5,826,726,889/34,913
6. Step 6: Final answer
   x = 166,892.76