Finding the Third Proportional to 10,177.95 and 22,426.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,177.95 : 22,426.49 = 22,426.49 : x
2. Step 2: Convert to fraction form
   10,177.95/22,426.49 = 22,426.49/x
3. Step 3: Cross multiply
   10,177.95x = 22,426.49 × 22,426.49
4. Step 4: Simplify right side
   10,177.95x = 502,947,376.63
5. Step 5: Solve for x
   x = 502,947,376.63/10,177.95
6. Step 6: Final answer
   x = 49,415.41