Finding the Third Proportional to 32,152 and 69,242

Step by Step Solution

1. Step 1: Write the proportion equation
   32,152 : 69,242 = 69,242 : x
2. Step 2: Convert to fraction form
   32,152/69,242 = 69,242/x
3. Step 3: Cross multiply
   32,152x = 69,242 × 69,242
4. Step 4: Simplify right side
   32,152x = 4,794,454,564
5. Step 5: Solve for x
   x = 4,794,454,564/32,152
6. Step 6: Final answer
   x = 149,118.39