Finding the Third Proportional to 33,188 and 69,778

Step by Step Solution

1. Step 1: Write the proportion equation
   33,188 : 69,778 = 69,778 : x
2. Step 2: Convert to fraction form
   33,188/69,778 = 69,778/x
3. Step 3: Cross multiply
   33,188x = 69,778 × 69,778
4. Step 4: Simplify right side
   33,188x = 4,868,969,284
5. Step 5: Solve for x
   x = 4,868,969,284/33,188
6. Step 6: Final answer
   x = 146,708.73