Finding the Third Proportional to 30,025 and 64,690

Step by Step Solution

1. Step 1: Write the proportion equation
   30,025 : 64,690 = 64,690 : x
2. Step 2: Convert to fraction form
   30,025/64,690 = 64,690/x
3. Step 3: Cross multiply
   30,025x = 64,690 × 64,690
4. Step 4: Simplify right side
   30,025x = 4,184,796,100
5. Step 5: Solve for x
   x = 4,184,796,100/30,025
6. Step 6: Final answer
   x = 139,377.06