Finding the Third Proportional to 32,838 and 72,444

Step by Step Solution

1. Step 1: Write the proportion equation
   32,838 : 72,444 = 72,444 : x
2. Step 2: Convert to fraction form
   32,838/72,444 = 72,444/x
3. Step 3: Cross multiply
   32,838x = 72,444 × 72,444
4. Step 4: Simplify right side
   32,838x = 5,248,133,136
5. Step 5: Solve for x
   x = 5,248,133,136/32,838
6. Step 6: Final answer
   x = 159,818.90