Finding the Third Proportional to 25,035 and 58,213

Step by Step Solution

1. Step 1: Write the proportion equation
   25,035 : 58,213 = 58,213 : x
2. Step 2: Convert to fraction form
   25,035/58,213 = 58,213/x
3. Step 3: Cross multiply
   25,035x = 58,213 × 58,213
4. Step 4: Simplify right side
   25,035x = 3,388,753,369
5. Step 5: Solve for x
   x = 3,388,753,369/25,035
6. Step 6: Final answer
   x = 135,360.63