Finding the Third Proportional to 13,237 and 20,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,237 : 20,477.50 = 20,477.50 : x
2. Step 2: Convert to fraction form
   13,237/20,477.50 = 20,477.50/x
3. Step 3: Cross multiply
   13,237x = 20,477.50 × 20,477.50
4. Step 4: Simplify right side
   13,237x = 419,328,006.25
5. Step 5: Solve for x
   x = 419,328,006.25/13,237
6. Step 6: Final answer
   x = 31,678.48