Finding the Third Proportional to 33,644 and 70,773

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644 : 70,773 = 70,773 : x
2. Step 2: Convert to fraction form
   33,644/70,773 = 70,773/x
3. Step 3: Cross multiply
   33,644x = 70,773 × 70,773
4. Step 4: Simplify right side
   33,644x = 5,008,817,529
5. Step 5: Solve for x
   x = 5,008,817,529/33,644
6. Step 6: Final answer
   x = 148,876.99