Finding the Third Proportional to 21,084 and 31,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,084 : 31,765.50 = 31,765.50 : x
2. Step 2: Convert to fraction form
   21,084/31,765.50 = 31,765.50/x
3. Step 3: Cross multiply
   21,084x = 31,765.50 × 31,765.50
4. Step 4: Simplify right side
   21,084x = 1,009,046,990.25
5. Step 5: Solve for x
   x = 1,009,046,990.25/21,084
6. Step 6: Final answer
   x = 47,858.42