Finding the Third Proportional to 34,806 and 53,025

Step by Step Solution

1. Step 1: Write the proportion equation
   34,806 : 53,025 = 53,025 : x
2. Step 2: Convert to fraction form
   34,806/53,025 = 53,025/x
3. Step 3: Cross multiply
   34,806x = 53,025 × 53,025
4. Step 4: Simplify right side
   34,806x = 2,811,650,625
5. Step 5: Solve for x
   x = 2,811,650,625/34,806
6. Step 6: Final answer
   x = 80,780.63