Finding the Third Proportional to 34,652 and 75,892

Step by Step Solution

1. Step 1: Write the proportion equation
   34,652 : 75,892 = 75,892 : x
2. Step 2: Convert to fraction form
   34,652/75,892 = 75,892/x
3. Step 3: Cross multiply
   34,652x = 75,892 × 75,892
4. Step 4: Simplify right side
   34,652x = 5,759,595,664
5. Step 5: Solve for x
   x = 5,759,595,664/34,652
6. Step 6: Final answer
   x = 166,212.50