Finding the Third Proportional to 32,896 and 72,354

Step by Step Solution

1. Step 1: Write the proportion equation
   32,896 : 72,354 = 72,354 : x
2. Step 2: Convert to fraction form
   32,896/72,354 = 72,354/x
3. Step 3: Cross multiply
   32,896x = 72,354 × 72,354
4. Step 4: Simplify right side
   32,896x = 5,235,101,316
5. Step 5: Solve for x
   x = 5,235,101,316/32,896
6. Step 6: Final answer
   x = 159,140.97