Finding the Third Proportional to 36,232 and 42,010

Step by Step Solution

1. Step 1: Write the proportion equation
   36,232 : 42,010 = 42,010 : x
2. Step 2: Convert to fraction form
   36,232/42,010 = 42,010/x
3. Step 3: Cross multiply
   36,232x = 42,010 × 42,010
4. Step 4: Simplify right side
   36,232x = 1,764,840,100
5. Step 5: Solve for x
   x = 1,764,840,100/36,232
6. Step 6: Final answer
   x = 48,709.43