Finding the Third Proportional to 32,776 and 70,414

Step by Step Solution

1. Step 1: Write the proportion equation
   32,776 : 70,414 = 70,414 : x
2. Step 2: Convert to fraction form
   32,776/70,414 = 70,414/x
3. Step 3: Cross multiply
   32,776x = 70,414 × 70,414
4. Step 4: Simplify right side
   32,776x = 4,958,131,396
5. Step 5: Solve for x
   x = 4,958,131,396/32,776
6. Step 6: Final answer
   x = 151,273.23