Finding the Third Proportional to 42,808 and 65,832

Step by Step Solution

1. Step 1: Write the proportion equation
   42,808 : 65,832 = 65,832 : x
2. Step 2: Convert to fraction form
   42,808/65,832 = 65,832/x
3. Step 3: Cross multiply
   42,808x = 65,832 × 65,832
4. Step 4: Simplify right side
   42,808x = 4,333,852,224
5. Step 5: Solve for x
   x = 4,333,852,224/42,808
6. Step 6: Final answer
   x = 101,239.31