Finding the Third Proportional to 33,478 and 74,300

Step by Step Solution

1. Step 1: Write the proportion equation
   33,478 : 74,300 = 74,300 : x
2. Step 2: Convert to fraction form
   33,478/74,300 = 74,300/x
3. Step 3: Cross multiply
   33,478x = 74,300 × 74,300
4. Step 4: Simplify right side
   33,478x = 5,520,490,000
5. Step 5: Solve for x
   x = 5,520,490,000/33,478
6. Step 6: Final answer
   x = 164,899.04