Finding the Third Proportional to 33,780 and 74,046

Step by Step Solution

1. Step 1: Write the proportion equation
   33,780 : 74,046 = 74,046 : x
2. Step 2: Convert to fraction form
   33,780/74,046 = 74,046/x
3. Step 3: Cross multiply
   33,780x = 74,046 × 74,046
4. Step 4: Simplify right side
   33,780x = 5,482,810,116
5. Step 5: Solve for x
   x = 5,482,810,116/33,780
6. Step 6: Final answer
   x = 162,309.36