Finding the Third Proportional to 32,884 and 71,354

Step by Step Solution

1. Step 1: Write the proportion equation
   32,884 : 71,354 = 71,354 : x
2. Step 2: Convert to fraction form
   32,884/71,354 = 71,354/x
3. Step 3: Cross multiply
   32,884x = 71,354 × 71,354
4. Step 4: Simplify right side
   32,884x = 5,091,393,316
5. Step 5: Solve for x
   x = 5,091,393,316/32,884
6. Step 6: Final answer
   x = 154,828.89