Finding the Third Proportional to 19,642 and 43,380

Step by Step Solution

1. Step 1: Write the proportion equation
   19,642 : 43,380 = 43,380 : x
2. Step 2: Convert to fraction form
   19,642/43,380 = 43,380/x
3. Step 3: Cross multiply
   19,642x = 43,380 × 43,380
4. Step 4: Simplify right side
   19,642x = 1,881,824,400
5. Step 5: Solve for x
   x = 1,881,824,400/19,642
6. Step 6: Final answer
   x = 95,806.15