Finding the Third Proportional to 34,650 and 80,840.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,650 : 80,840.25 = 80,840.25 : x
2. Step 2: Convert to fraction form
   34,650/80,840.25 = 80,840.25/x
3. Step 3: Cross multiply
   34,650x = 80,840.25 × 80,840.25
4. Step 4: Simplify right side
   34,650x = 6,535,146,020.06
5. Step 5: Solve for x
   x = 6,535,146,020.06/34,650
6. Step 6: Final answer
   x = 188,604.50