Finding the Third Proportional to 12,638 and 19,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,638 : 19,823.50 = 19,823.50 : x
2. Step 2: Convert to fraction form
   12,638/19,823.50 = 19,823.50/x
3. Step 3: Cross multiply
   12,638x = 19,823.50 × 19,823.50
4. Step 4: Simplify right side
   12,638x = 392,971,152.25
5. Step 5: Solve for x
   x = 392,971,152.25/12,638
6. Step 6: Final answer
   x = 31,094.41