Finding the Third Proportional to 42,306 and 65,334

Step by Step Solution

1. Step 1: Write the proportion equation
   42,306 : 65,334 = 65,334 : x
2. Step 2: Convert to fraction form
   42,306/65,334 = 65,334/x
3. Step 3: Cross multiply
   42,306x = 65,334 × 65,334
4. Step 4: Simplify right side
   42,306x = 4,268,531,556
5. Step 5: Solve for x
   x = 4,268,531,556/42,306
6. Step 6: Final answer
   x = 100,896.60