Finding the Third Proportional to 42,855 and 64,242

Step by Step Solution

1. Step 1: Write the proportion equation
   42,855 : 64,242 = 64,242 : x
2. Step 2: Convert to fraction form
   42,855/64,242 = 64,242/x
3. Step 3: Cross multiply
   42,855x = 64,242 × 64,242
4. Step 4: Simplify right side
   42,855x = 4,127,034,564
5. Step 5: Solve for x
   x = 4,127,034,564/42,855
6. Step 6: Final answer
   x = 96,302.29