Finding the Third Proportional to 23,642 and 48,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,642 : 48,363.50 = 48,363.50 : x
2. Step 2: Convert to fraction form
   23,642/48,363.50 = 48,363.50/x
3. Step 3: Cross multiply
   23,642x = 48,363.50 × 48,363.50
4. Step 4: Simplify right side
   23,642x = 2,339,028,132.25
5. Step 5: Solve for x
   x = 2,339,028,132.25/23,642
6. Step 6: Final answer
   x = 98,935.29