Finding the Third Proportional to 33,688 and 78,732

Step by Step Solution

1. Step 1: Write the proportion equation
   33,688 : 78,732 = 78,732 : x
2. Step 2: Convert to fraction form
   33,688/78,732 = 78,732/x
3. Step 3: Cross multiply
   33,688x = 78,732 × 78,732
4. Step 4: Simplify right side
   33,688x = 6,198,727,824
5. Step 5: Solve for x
   x = 6,198,727,824/33,688
6. Step 6: Final answer
   x = 184,004.03