Finding the Third Proportional to 33,796 and 78,970

Step by Step Solution

1. Step 1: Write the proportion equation
   33,796 : 78,970 = 78,970 : x
2. Step 2: Convert to fraction form
   33,796/78,970 = 78,970/x
3. Step 3: Cross multiply
   33,796x = 78,970 × 78,970
4. Step 4: Simplify right side
   33,796x = 6,236,260,900
5. Step 5: Solve for x
   x = 6,236,260,900/33,796
6. Step 6: Final answer
   x = 184,526.60