Finding the Third Proportional to 22,509 and 52,111

Step by Step Solution

1. Step 1: Write the proportion equation
   22,509 : 52,111 = 52,111 : x
2. Step 2: Convert to fraction form
   22,509/52,111 = 52,111/x
3. Step 3: Cross multiply
   22,509x = 52,111 × 52,111
4. Step 4: Simplify right side
   22,509x = 2,715,556,321
5. Step 5: Solve for x
   x = 2,715,556,321/22,509
6. Step 6: Final answer
   x = 120,643.13