Finding the Third Proportional to 34,766 and 71,152

Step by Step Solution

1. Step 1: Write the proportion equation
   34,766 : 71,152 = 71,152 : x
2. Step 2: Convert to fraction form
   34,766/71,152 = 71,152/x
3. Step 3: Cross multiply
   34,766x = 71,152 × 71,152
4. Step 4: Simplify right side
   34,766x = 5,062,607,104
5. Step 5: Solve for x
   x = 5,062,607,104/34,766
6. Step 6: Final answer
   x = 145,619.49