Finding the Third Proportional to 33,498 and 70,442

Step by Step Solution

1. Step 1: Write the proportion equation
   33,498 : 70,442 = 70,442 : x
2. Step 2: Convert to fraction form
   33,498/70,442 = 70,442/x
3. Step 3: Cross multiply
   33,498x = 70,442 × 70,442
4. Step 4: Simplify right side
   33,498x = 4,962,075,364
5. Step 5: Solve for x
   x = 4,962,075,364/33,498
6. Step 6: Final answer
   x = 148,130.50