Finding the Third Proportional to 20,152.50 and 31,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,152.50 : 31,774.50 = 31,774.50 : x
2. Step 2: Convert to fraction form
   20,152.50/31,774.50 = 31,774.50/x
3. Step 3: Cross multiply
   20,152.50x = 31,774.50 × 31,774.50
4. Step 4: Simplify right side
   20,152.50x = 1,009,618,850.25
5. Step 5: Solve for x
   x = 1,009,618,850.25/20,152.50
6. Step 6: Final answer
   x = 50,098.94