Finding the Third Proportional to 25,690.50 and 36,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,690.50 : 36,166.50 = 36,166.50 : x
2. Step 2: Convert to fraction form
   25,690.50/36,166.50 = 36,166.50/x
3. Step 3: Cross multiply
   25,690.50x = 36,166.50 × 36,166.50
4. Step 4: Simplify right side
   25,690.50x = 1,308,015,722.25
5. Step 5: Solve for x
   x = 1,308,015,722.25/25,690.50
6. Step 6: Final answer
   x = 50,914.37