Finding the Third Proportional to 29,632 and 69,945

Step by Step Solution

1. Step 1: Write the proportion equation
   29,632 : 69,945 = 69,945 : x
2. Step 2: Convert to fraction form
   29,632/69,945 = 69,945/x
3. Step 3: Cross multiply
   29,632x = 69,945 × 69,945
4. Step 4: Simplify right side
   29,632x = 4,892,303,025
5. Step 5: Solve for x
   x = 4,892,303,025/29,632
6. Step 6: Final answer
   x = 165,102.02