Finding the Third Proportional to 34,305 and 74,892

Step by Step Solution

1. Step 1: Write the proportion equation
   34,305 : 74,892 = 74,892 : x
2. Step 2: Convert to fraction form
   34,305/74,892 = 74,892/x
3. Step 3: Cross multiply
   34,305x = 74,892 × 74,892
4. Step 4: Simplify right side
   34,305x = 5,608,811,664
5. Step 5: Solve for x
   x = 5,608,811,664/34,305
6. Step 6: Final answer
   x = 163,498.37