Finding the Third Proportional to 33,510 and 69,776

Step by Step Solution

1. Step 1: Write the proportion equation
   33,510 : 69,776 = 69,776 : x
2. Step 2: Convert to fraction form
   33,510/69,776 = 69,776/x
3. Step 3: Cross multiply
   33,510x = 69,776 × 69,776
4. Step 4: Simplify right side
   33,510x = 4,868,690,176
5. Step 5: Solve for x
   x = 4,868,690,176/33,510
6. Step 6: Final answer
   x = 145,290.66