Finding the Third Proportional to 23,724 and 48,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,724 : 48,632.50 = 48,632.50 : x
2. Step 2: Convert to fraction form
   23,724/48,632.50 = 48,632.50/x
3. Step 3: Cross multiply
   23,724x = 48,632.50 × 48,632.50
4. Step 4: Simplify right side
   23,724x = 2,365,120,056.25
5. Step 5: Solve for x
   x = 2,365,120,056.25/23,724
6. Step 6: Final answer
   x = 99,693.14