Finding the Third Proportional to 30,645 and 42,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,645 : 42,199.50 = 42,199.50 : x
2. Step 2: Convert to fraction form
   30,645/42,199.50 = 42,199.50/x
3. Step 3: Cross multiply
   30,645x = 42,199.50 × 42,199.50
4. Step 4: Simplify right side
   30,645x = 1,780,797,800.25
5. Step 5: Solve for x
   x = 1,780,797,800.25/30,645
6. Step 6: Final answer
   x = 58,110.55