Finding the Third Proportional to 24,526 and 53,510

Step by Step Solution

1. Step 1: Write the proportion equation
   24,526 : 53,510 = 53,510 : x
2. Step 2: Convert to fraction form
   24,526/53,510 = 53,510/x
3. Step 3: Cross multiply
   24,526x = 53,510 × 53,510
4. Step 4: Simplify right side
   24,526x = 2,863,320,100
5. Step 5: Solve for x
   x = 2,863,320,100/24,526
6. Step 6: Final answer
   x = 116,746.31