Finding the Third Proportional to 22,137 and 32,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,137 : 32,377.50 = 32,377.50 : x
2. Step 2: Convert to fraction form
   22,137/32,377.50 = 32,377.50/x
3. Step 3: Cross multiply
   22,137x = 32,377.50 × 32,377.50
4. Step 4: Simplify right side
   22,137x = 1,048,302,506.25
5. Step 5: Solve for x
   x = 1,048,302,506.25/22,137
6. Step 6: Final answer
   x = 47,355.22