Finding the Third Proportional to 32,961.50 and 72,646

Step by Step Solution

1. Step 1: Write the proportion equation
   32,961.50 : 72,646 = 72,646 : x
2. Step 2: Convert to fraction form
   32,961.50/72,646 = 72,646/x
3. Step 3: Cross multiply
   32,961.50x = 72,646 × 72,646
4. Step 4: Simplify right side
   32,961.50x = 5,277,441,316
5. Step 5: Solve for x
   x = 5,277,441,316/32,961.50
6. Step 6: Final answer
   x = 160,109.26