Finding the Third Proportional to 21,237 and 31,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,237 : 31,852.50 = 31,852.50 : x
2. Step 2: Convert to fraction form
   21,237/31,852.50 = 31,852.50/x
3. Step 3: Cross multiply
   21,237x = 31,852.50 × 31,852.50
4. Step 4: Simplify right side
   21,237x = 1,014,581,756.25
5. Step 5: Solve for x
   x = 1,014,581,756.25/21,237
6. Step 6: Final answer
   x = 47,774.25