Finding the Third Proportional to 42,322 and 65,902

Step by Step Solution

1. Step 1: Write the proportion equation
   42,322 : 65,902 = 65,902 : x
2. Step 2: Convert to fraction form
   42,322/65,902 = 65,902/x
3. Step 3: Cross multiply
   42,322x = 65,902 × 65,902
4. Step 4: Simplify right side
   42,322x = 4,343,073,604
5. Step 5: Solve for x
   x = 4,343,073,604/42,322
6. Step 6: Final answer
   x = 102,619.76