Finding the Third Proportional to 38,213 and 83,990

Step by Step Solution

1. Step 1: Write the proportion equation
   38,213 : 83,990 = 83,990 : x
2. Step 2: Convert to fraction form
   38,213/83,990 = 83,990/x
3. Step 3: Cross multiply
   38,213x = 83,990 × 83,990
4. Step 4: Simplify right side
   38,213x = 7,054,320,100
5. Step 5: Solve for x
   x = 7,054,320,100/38,213
6. Step 6: Final answer
   x = 184,605.24