Finding the Third Proportional to 24,626 and 59,099

Step by Step Solution

1. Step 1: Write the proportion equation
   24,626 : 59,099 = 59,099 : x
2. Step 2: Convert to fraction form
   24,626/59,099 = 59,099/x
3. Step 3: Cross multiply
   24,626x = 59,099 × 59,099
4. Step 4: Simplify right side
   24,626x = 3,492,691,801
5. Step 5: Solve for x
   x = 3,492,691,801/24,626
6. Step 6: Final answer
   x = 141,829.44