Finding the Third Proportional to 24,196.50 and 53,298

Step by Step Solution

1. Step 1: Write the proportion equation
   24,196.50 : 53,298 = 53,298 : x
2. Step 2: Convert to fraction form
   24,196.50/53,298 = 53,298/x
3. Step 3: Cross multiply
   24,196.50x = 53,298 × 53,298
4. Step 4: Simplify right side
   24,196.50x = 2,840,676,804
5. Step 5: Solve for x
   x = 2,840,676,804/24,196.50
6. Step 6: Final answer
   x = 117,400.32