Finding the Third Proportional to 30,796 and 42,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,796 : 42,906.50 = 42,906.50 : x
2. Step 2: Convert to fraction form
   30,796/42,906.50 = 42,906.50/x
3. Step 3: Cross multiply
   30,796x = 42,906.50 × 42,906.50
4. Step 4: Simplify right side
   30,796x = 1,840,967,742.25
5. Step 5: Solve for x
   x = 1,840,967,742.25/30,796
6. Step 6: Final answer
   x = 59,779.44