Finding the Third Proportional to 32,719 and 51,892

Step by Step Solution

1. Step 1: Write the proportion equation
   32,719 : 51,892 = 51,892 : x
2. Step 2: Convert to fraction form
   32,719/51,892 = 51,892/x
3. Step 3: Cross multiply
   32,719x = 51,892 × 51,892
4. Step 4: Simplify right side
   32,719x = 2,692,779,664
5. Step 5: Solve for x
   x = 2,692,779,664/32,719
6. Step 6: Final answer
   x = 82,300.18