Finding the Third Proportional to 29,830 and 65,188

Step by Step Solution

1. Step 1: Write the proportion equation
   29,830 : 65,188 = 65,188 : x
2. Step 2: Convert to fraction form
   29,830/65,188 = 65,188/x
3. Step 3: Cross multiply
   29,830x = 65,188 × 65,188
4. Step 4: Simplify right side
   29,830x = 4,249,475,344
5. Step 5: Solve for x
   x = 4,249,475,344/29,830
6. Step 6: Final answer
   x = 142,456.43