Finding the Third Proportional to 22,971 and 34,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,971 : 34,636.50 = 34,636.50 : x
2. Step 2: Convert to fraction form
   22,971/34,636.50 = 34,636.50/x
3. Step 3: Cross multiply
   22,971x = 34,636.50 × 34,636.50
4. Step 4: Simplify right side
   22,971x = 1,199,687,132.25
5. Step 5: Solve for x
   x = 1,199,687,132.25/22,971
6. Step 6: Final answer
   x = 52,226.16