Finding the Third Proportional to 33,068 and 69,412

Step by Step Solution

1. Step 1: Write the proportion equation
   33,068 : 69,412 = 69,412 : x
2. Step 2: Convert to fraction form
   33,068/69,412 = 69,412/x
3. Step 3: Cross multiply
   33,068x = 69,412 × 69,412
4. Step 4: Simplify right side
   33,068x = 4,818,025,744
5. Step 5: Solve for x
   x = 4,818,025,744/33,068
6. Step 6: Final answer
   x = 145,700.55