Finding the Third Proportional to 23,517 and 47,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,517 : 47,641.50 = 47,641.50 : x
2. Step 2: Convert to fraction form
   23,517/47,641.50 = 47,641.50/x
3. Step 3: Cross multiply
   23,517x = 47,641.50 × 47,641.50
4. Step 4: Simplify right side
   23,517x = 2,269,712,522.25
5. Step 5: Solve for x
   x = 2,269,712,522.25/23,517
6. Step 6: Final answer
   x = 96,513.69