Finding the Third Proportional to 10,077.75 and 22,190.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.75 : 22,190.63 = 22,190.63 : x
2. Step 2: Convert to fraction form
   10,077.75/22,190.63 = 22,190.63/x
3. Step 3: Cross multiply
   10,077.75x = 22,190.63 × 22,190.63
4. Step 4: Simplify right side
   10,077.75x = 492,423,837.89
5. Step 5: Solve for x
   x = 492,423,837.89/10,077.75
6. Step 6: Final answer
   x = 48,862.48