Finding the Third Proportional to 35,640 and 56,058

Step by Step Solution

1. Step 1: Write the proportion equation
   35,640 : 56,058 = 56,058 : x
2. Step 2: Convert to fraction form
   35,640/56,058 = 56,058/x
3. Step 3: Cross multiply
   35,640x = 56,058 × 56,058
4. Step 4: Simplify right side
   35,640x = 3,142,499,364
5. Step 5: Solve for x
   x = 3,142,499,364/35,640
6. Step 6: Final answer
   x = 88,173.38