Finding the Third Proportional to 32,674 and 69,614

Step by Step Solution

1. Step 1: Write the proportion equation
   32,674 : 69,614 = 69,614 : x
2. Step 2: Convert to fraction form
   32,674/69,614 = 69,614/x
3. Step 3: Cross multiply
   32,674x = 69,614 × 69,614
4. Step 4: Simplify right side
   32,674x = 4,846,108,996
5. Step 5: Solve for x
   x = 4,846,108,996/32,674
6. Step 6: Final answer
   x = 148,316.98