Finding the Third Proportional to 24,349 and 53,111

Step by Step Solution

1. Step 1: Write the proportion equation
   24,349 : 53,111 = 53,111 : x
2. Step 2: Convert to fraction form
   24,349/53,111 = 53,111/x
3. Step 3: Cross multiply
   24,349x = 53,111 × 53,111
4. Step 4: Simplify right side
   24,349x = 2,820,778,321
5. Step 5: Solve for x
   x = 2,820,778,321/24,349
6. Step 6: Final answer
   x = 115,847.81