Finding the Third Proportional to 32,442 and 76,278

Step by Step Solution

1. Step 1: Write the proportion equation
   32,442 : 76,278 = 76,278 : x
2. Step 2: Convert to fraction form
   32,442/76,278 = 76,278/x
3. Step 3: Cross multiply
   32,442x = 76,278 × 76,278
4. Step 4: Simplify right side
   32,442x = 5,818,333,284
5. Step 5: Solve for x
   x = 5,818,333,284/32,442
6. Step 6: Final answer
   x = 179,345.70