Finding the Third Proportional to 33,686 and 56,140

Step by Step Solution

1. Step 1: Write the proportion equation
   33,686 : 56,140 = 56,140 : x
2. Step 2: Convert to fraction form
   33,686/56,140 = 56,140/x
3. Step 3: Cross multiply
   33,686x = 56,140 × 56,140
4. Step 4: Simplify right side
   33,686x = 3,151,699,600
5. Step 5: Solve for x
   x = 3,151,699,600/33,686
6. Step 6: Final answer
   x = 93,561.11