Finding the Third Proportional to 25,196 and 58,850

Step by Step Solution

1. Step 1: Write the proportion equation
   25,196 : 58,850 = 58,850 : x
2. Step 2: Convert to fraction form
   25,196/58,850 = 58,850/x
3. Step 3: Cross multiply
   25,196x = 58,850 × 58,850
4. Step 4: Simplify right side
   25,196x = 3,463,322,500
5. Step 5: Solve for x
   x = 3,463,322,500/25,196
6. Step 6: Final answer
   x = 137,455.25