Finding the Third Proportional to 24,402 and 53,279.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,402 : 53,279.25 = 53,279.25 : x
2. Step 2: Convert to fraction form
   24,402/53,279.25 = 53,279.25/x
3. Step 3: Cross multiply
   24,402x = 53,279.25 × 53,279.25
4. Step 4: Simplify right side
   24,402x = 2,838,678,480.56
5. Step 5: Solve for x
   x = 2,838,678,480.56/24,402
6. Step 6: Final answer
   x = 116,329.75