Finding the Third Proportional to 34,693 and 73,705

Step by Step Solution

1. Step 1: Write the proportion equation
   34,693 : 73,705 = 73,705 : x
2. Step 2: Convert to fraction form
   34,693/73,705 = 73,705/x
3. Step 3: Cross multiply
   34,693x = 73,705 × 73,705
4. Step 4: Simplify right side
   34,693x = 5,432,427,025
5. Step 5: Solve for x
   x = 5,432,427,025/34,693
6. Step 6: Final answer
   x = 156,585.68