Finding the Third Proportional to 34,494 and 71,199

Step by Step Solution

1. Step 1: Write the proportion equation
   34,494 : 71,199 = 71,199 : x
2. Step 2: Convert to fraction form
   34,494/71,199 = 71,199/x
3. Step 3: Cross multiply
   34,494x = 71,199 × 71,199
4. Step 4: Simplify right side
   34,494x = 5,069,297,601
5. Step 5: Solve for x
   x = 5,069,297,601/34,494
6. Step 6: Final answer
   x = 146,961.72