Finding the Third Proportional to 42,902 and 65,630

Step by Step Solution

1. Step 1: Write the proportion equation
   42,902 : 65,630 = 65,630 : x
2. Step 2: Convert to fraction form
   42,902/65,630 = 65,630/x
3. Step 3: Cross multiply
   42,902x = 65,630 × 65,630
4. Step 4: Simplify right side
   42,902x = 4,307,296,900
5. Step 5: Solve for x
   x = 4,307,296,900/42,902
6. Step 6: Final answer
   x = 100,398.51