Finding the Third Proportional to 19,835 and 30,779

Step by Step Solution

1. Step 1: Write the proportion equation
   19,835 : 30,779 = 30,779 : x
2. Step 2: Convert to fraction form
   19,835/30,779 = 30,779/x
3. Step 3: Cross multiply
   19,835x = 30,779 × 30,779
4. Step 4: Simplify right side
   19,835x = 947,346,841
5. Step 5: Solve for x
   x = 947,346,841/19,835
6. Step 6: Final answer
   x = 47,761.37