Finding the Third Proportional to 34,716 and 74,705

Step by Step Solution

1. Step 1: Write the proportion equation
   34,716 : 74,705 = 74,705 : x
2. Step 2: Convert to fraction form
   34,716/74,705 = 74,705/x
3. Step 3: Cross multiply
   34,716x = 74,705 × 74,705
4. Step 4: Simplify right side
   34,716x = 5,580,837,025
5. Step 5: Solve for x
   x = 5,580,837,025/34,716
6. Step 6: Final answer
   x = 160,756.91