Finding the Third Proportional to 43,830 and 65,069

Step by Step Solution

1. Step 1: Write the proportion equation
   43,830 : 65,069 = 65,069 : x
2. Step 2: Convert to fraction form
   43,830/65,069 = 65,069/x
3. Step 3: Cross multiply
   43,830x = 65,069 × 65,069
4. Step 4: Simplify right side
   43,830x = 4,233,974,761
5. Step 5: Solve for x
   x = 4,233,974,761/43,830
6. Step 6: Final answer
   x = 96,599.93