Finding the Third Proportional to 19,638 and 42,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,638 : 42,772.50 = 42,772.50 : x
2. Step 2: Convert to fraction form
   19,638/42,772.50 = 42,772.50/x
3. Step 3: Cross multiply
   19,638x = 42,772.50 × 42,772.50
4. Step 4: Simplify right side
   19,638x = 1,829,486,756.25
5. Step 5: Solve for x
   x = 1,829,486,756.25/19,638
6. Step 6: Final answer
   x = 93,160.54