Finding the Third Proportional to 33,653 and 70,789

Step by Step Solution

1. Step 1: Write the proportion equation
   33,653 : 70,789 = 70,789 : x
2. Step 2: Convert to fraction form
   33,653/70,789 = 70,789/x
3. Step 3: Cross multiply
   33,653x = 70,789 × 70,789
4. Step 4: Simplify right side
   33,653x = 5,011,082,521
5. Step 5: Solve for x
   x = 5,011,082,521/33,653
6. Step 6: Final answer
   x = 148,904.48