Finding the Third Proportional to 24,620 and 53,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,620 : 53,694.50 = 53,694.50 : x
2. Step 2: Convert to fraction form
   24,620/53,694.50 = 53,694.50/x
3. Step 3: Cross multiply
   24,620x = 53,694.50 × 53,694.50
4. Step 4: Simplify right side
   24,620x = 2,883,099,330.25
5. Step 5: Solve for x
   x = 2,883,099,330.25/24,620
6. Step 6: Final answer
   x = 117,103.95