Finding the Third Proportional to 36,178 and 56,010

Step by Step Solution

1. Step 1: Write the proportion equation
   36,178 : 56,010 = 56,010 : x
2. Step 2: Convert to fraction form
   36,178/56,010 = 56,010/x
3. Step 3: Cross multiply
   36,178x = 56,010 × 56,010
4. Step 4: Simplify right side
   36,178x = 3,137,120,100
5. Step 5: Solve for x
   x = 3,137,120,100/36,178
6. Step 6: Final answer
   x = 86,713.48