Finding the Third Proportional to 30,643.50 and 42,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,643.50 : 42,196.50 = 42,196.50 : x
2. Step 2: Convert to fraction form
   30,643.50/42,196.50 = 42,196.50/x
3. Step 3: Cross multiply
   30,643.50x = 42,196.50 × 42,196.50
4. Step 4: Simplify right side
   30,643.50x = 1,780,544,612.25
5. Step 5: Solve for x
   x = 1,780,544,612.25/30,643.50
6. Step 6: Final answer
   x = 58,105.13