Finding the Third Proportional to 9,200.25 and 21,876.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200.25 : 21,876.75 = 21,876.75 : x
2. Step 2: Convert to fraction form
   9,200.25/21,876.75 = 21,876.75/x
3. Step 3: Cross multiply
   9,200.25x = 21,876.75 × 21,876.75
4. Step 4: Simplify right side
   9,200.25x = 478,592,190.56
5. Step 5: Solve for x
   x = 478,592,190.56/9,200.25
6. Step 6: Final answer
   x = 52,019.48