Finding the Third Proportional to 25,952 and 58,645

Step by Step Solution

1. Step 1: Write the proportion equation
   25,952 : 58,645 = 58,645 : x
2. Step 2: Convert to fraction form
   25,952/58,645 = 58,645/x
3. Step 3: Cross multiply
   25,952x = 58,645 × 58,645
4. Step 4: Simplify right side
   25,952x = 3,439,236,025
5. Step 5: Solve for x
   x = 3,439,236,025/25,952
6. Step 6: Final answer
   x = 132,522.97