Finding the Third Proportional to 34,334 and 72,358

Step by Step Solution

1. Step 1: Write the proportion equation
   34,334 : 72,358 = 72,358 : x
2. Step 2: Convert to fraction form
   34,334/72,358 = 72,358/x
3. Step 3: Cross multiply
   34,334x = 72,358 × 72,358
4. Step 4: Simplify right side
   34,334x = 5,235,680,164
5. Step 5: Solve for x
   x = 5,235,680,164/34,334
6. Step 6: Final answer
   x = 152,492.58