Finding the Third Proportional to 25,306 and 55,470

Step by Step Solution

1. Step 1: Write the proportion equation
   25,306 : 55,470 = 55,470 : x
2. Step 2: Convert to fraction form
   25,306/55,470 = 55,470/x
3. Step 3: Cross multiply
   25,306x = 55,470 × 55,470
4. Step 4: Simplify right side
   25,306x = 3,076,920,900
5. Step 5: Solve for x
   x = 3,076,920,900/25,306
6. Step 6: Final answer
   x = 121,588.59