Finding the Third Proportional to 30,644 and 42,199

Step by Step Solution

1. Step 1: Write the proportion equation
   30,644 : 42,199 = 42,199 : x
2. Step 2: Convert to fraction form
   30,644/42,199 = 42,199/x
3. Step 3: Cross multiply
   30,644x = 42,199 × 42,199
4. Step 4: Simplify right side
   30,644x = 1,780,755,601
5. Step 5: Solve for x
   x = 1,780,755,601/30,644
6. Step 6: Final answer
   x = 58,111.07