Finding the Third Proportional to 32,460 and 69,105

Step by Step Solution

1. Step 1: Write the proportion equation
   32,460 : 69,105 = 69,105 : x
2. Step 2: Convert to fraction form
   32,460/69,105 = 69,105/x
3. Step 3: Cross multiply
   32,460x = 69,105 × 69,105
4. Step 4: Simplify right side
   32,460x = 4,775,501,025
5. Step 5: Solve for x
   x = 4,775,501,025/32,460
6. Step 6: Final answer
   x = 147,119.56