Finding the Third Proportional to 35,536 and 54,516

Step by Step Solution

1. Step 1: Write the proportion equation
   35,536 : 54,516 = 54,516 : x
2. Step 2: Convert to fraction form
   35,536/54,516 = 54,516/x
3. Step 3: Cross multiply
   35,536x = 54,516 × 54,516
4. Step 4: Simplify right side
   35,536x = 2,971,994,256
5. Step 5: Solve for x
   x = 2,971,994,256/35,536
6. Step 6: Final answer
   x = 83,633.34