Finding the Third Proportional to 23,240 and 47,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,240 : 47,715.50 = 47,715.50 : x
2. Step 2: Convert to fraction form
   23,240/47,715.50 = 47,715.50/x
3. Step 3: Cross multiply
   23,240x = 47,715.50 × 47,715.50
4. Step 4: Simplify right side
   23,240x = 2,276,768,940.25
5. Step 5: Solve for x
   x = 2,276,768,940.25/23,240
6. Step 6: Final answer
   x = 97,967.68