Finding the Third Proportional to 30,645 and 42,200

Step by Step Solution

1. Step 1: Write the proportion equation
   30,645 : 42,200 = 42,200 : x
2. Step 2: Convert to fraction form
   30,645/42,200 = 42,200/x
3. Step 3: Cross multiply
   30,645x = 42,200 × 42,200
4. Step 4: Simplify right side
   30,645x = 1,780,840,000
5. Step 5: Solve for x
   x = 1,780,840,000/30,645
6. Step 6: Final answer
   x = 58,111.93