Finding the Third Proportional to 38,218 and 83,960

Step by Step Solution

1. Step 1: Write the proportion equation
   38,218 : 83,960 = 83,960 : x
2. Step 2: Convert to fraction form
   38,218/83,960 = 83,960/x
3. Step 3: Cross multiply
   38,218x = 83,960 × 83,960
4. Step 4: Simplify right side
   38,218x = 7,049,281,600
5. Step 5: Solve for x
   x = 7,049,281,600/38,218
6. Step 6: Final answer
   x = 184,449.25