Finding the Third Proportional to 33,598 and 72,380

Step by Step Solution

1. Step 1: Write the proportion equation
   33,598 : 72,380 = 72,380 : x
2. Step 2: Convert to fraction form
   33,598/72,380 = 72,380/x
3. Step 3: Cross multiply
   33,598x = 72,380 × 72,380
4. Step 4: Simplify right side
   33,598x = 5,238,864,400
5. Step 5: Solve for x
   x = 5,238,864,400/33,598
6. Step 6: Final answer
   x = 155,927.86