Finding the Third Proportional to 32,442 and 69,884

Step by Step Solution

1. Step 1: Write the proportion equation
   32,442 : 69,884 = 69,884 : x
2. Step 2: Convert to fraction form
   32,442/69,884 = 69,884/x
3. Step 3: Cross multiply
   32,442x = 69,884 × 69,884
4. Step 4: Simplify right side
   32,442x = 4,883,773,456
5. Step 5: Solve for x
   x = 4,883,773,456/32,442
6. Step 6: Final answer
   x = 150,538.61