Finding the Third Proportional to 32,553 and 49,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,553 : 49,178.25 = 49,178.25 : x
2. Step 2: Convert to fraction form
   32,553/49,178.25 = 49,178.25/x
3. Step 3: Cross multiply
   32,553x = 49,178.25 × 49,178.25
4. Step 4: Simplify right side
   32,553x = 2,418,500,273.06
5. Step 5: Solve for x
   x = 2,418,500,273.06/32,553
6. Step 6: Final answer
   x = 74,294.24