Finding the Third Proportional to 25,616 and 59,284

Step by Step Solution

1. Step 1: Write the proportion equation
   25,616 : 59,284 = 59,284 : x
2. Step 2: Convert to fraction form
   25,616/59,284 = 59,284/x
3. Step 3: Cross multiply
   25,616x = 59,284 × 59,284
4. Step 4: Simplify right side
   25,616x = 3,514,592,656
5. Step 5: Solve for x
   x = 3,514,592,656/25,616
6. Step 6: Final answer
   x = 137,203.02