Finding the Third Proportional to 22,902 and 36,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,902 : 36,196.50 = 36,196.50 : x
2. Step 2: Convert to fraction form
   22,902/36,196.50 = 36,196.50/x
3. Step 3: Cross multiply
   22,902x = 36,196.50 × 36,196.50
4. Step 4: Simplify right side
   22,902x = 1,310,186,612.25
5. Step 5: Solve for x
   x = 1,310,186,612.25/22,902
6. Step 6: Final answer
   x = 57,208.39