Finding the Third Proportional to 32,003 and 42,819

Step by Step Solution

1. Step 1: Write the proportion equation
   32,003 : 42,819 = 42,819 : x
2. Step 2: Convert to fraction form
   32,003/42,819 = 42,819/x
3. Step 3: Cross multiply
   32,003x = 42,819 × 42,819
4. Step 4: Simplify right side
   32,003x = 1,833,466,761
5. Step 5: Solve for x
   x = 1,833,466,761/32,003
6. Step 6: Final answer
   x = 57,290.47