Finding the Third Proportional to 25,175 and 58,797

Step by Step Solution

1. Step 1: Write the proportion equation
   25,175 : 58,797 = 58,797 : x
2. Step 2: Convert to fraction form
   25,175/58,797 = 58,797/x
3. Step 3: Cross multiply
   25,175x = 58,797 × 58,797
4. Step 4: Simplify right side
   25,175x = 3,457,087,209
5. Step 5: Solve for x
   x = 3,457,087,209/25,175
6. Step 6: Final answer
   x = 137,322.23