Finding the Third Proportional to 34,176 and 72,392

Step by Step Solution

1. Step 1: Write the proportion equation
   34,176 : 72,392 = 72,392 : x
2. Step 2: Convert to fraction form
   34,176/72,392 = 72,392/x
3. Step 3: Cross multiply
   34,176x = 72,392 × 72,392
4. Step 4: Simplify right side
   34,176x = 5,240,601,664
5. Step 5: Solve for x
   x = 5,240,601,664/34,176
6. Step 6: Final answer
   x = 153,341.57