Finding the Third Proportional to 29,830 and 65,190

Step by Step Solution

1. Step 1: Write the proportion equation
   29,830 : 65,190 = 65,190 : x
2. Step 2: Convert to fraction form
   29,830/65,190 = 65,190/x
3. Step 3: Cross multiply
   29,830x = 65,190 × 65,190
4. Step 4: Simplify right side
   29,830x = 4,249,736,100
5. Step 5: Solve for x
   x = 4,249,736,100/29,830
6. Step 6: Final answer
   x = 142,465.17