Finding the Third Proportional to 42,894 and 64,278

Step by Step Solution

1. Step 1: Write the proportion equation
   42,894 : 64,278 = 64,278 : x
2. Step 2: Convert to fraction form
   42,894/64,278 = 64,278/x
3. Step 3: Cross multiply
   42,894x = 64,278 × 64,278
4. Step 4: Simplify right side
   42,894x = 4,131,661,284
5. Step 5: Solve for x
   x = 4,131,661,284/42,894
6. Step 6: Final answer
   x = 96,322.59