Finding the Third Proportional to 35,636 and 55,516

Step by Step Solution

1. Step 1: Write the proportion equation
   35,636 : 55,516 = 55,516 : x
2. Step 2: Convert to fraction form
   35,636/55,516 = 55,516/x
3. Step 3: Cross multiply
   35,636x = 55,516 × 55,516
4. Step 4: Simplify right side
   35,636x = 3,082,026,256
5. Step 5: Solve for x
   x = 3,082,026,256/35,636
6. Step 6: Final answer
   x = 86,486.31