Finding the Third Proportional to 34,348 and 72,385

Step by Step Solution

1. Step 1: Write the proportion equation
   34,348 : 72,385 = 72,385 : x
2. Step 2: Convert to fraction form
   34,348/72,385 = 72,385/x
3. Step 3: Cross multiply
   34,348x = 72,385 × 72,385
4. Step 4: Simplify right side
   34,348x = 5,239,588,225
5. Step 5: Solve for x
   x = 5,239,588,225/34,348
6. Step 6: Final answer
   x = 152,544.20