Finding the Third Proportional to 43,062 and 58,164

Step by Step Solution

1. Step 1: Write the proportion equation
   43,062 : 58,164 = 58,164 : x
2. Step 2: Convert to fraction form
   43,062/58,164 = 58,164/x
3. Step 3: Cross multiply
   43,062x = 58,164 × 58,164
4. Step 4: Simplify right side
   43,062x = 3,383,050,896
5. Step 5: Solve for x
   x = 3,383,050,896/43,062
6. Step 6: Final answer
   x = 78,562.33