Finding the Third Proportional to 38,118.38 and 83,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,118.38 : 83,596.50 = 83,596.50 : x
2. Step 2: Convert to fraction form
   38,118.38/83,596.50 = 83,596.50/x
3. Step 3: Cross multiply
   38,118.38x = 83,596.50 × 83,596.50
4. Step 4: Simplify right side
   38,118.38x = 6,988,374,812.25
5. Step 5: Solve for x
   x = 6,988,374,812.25/38,118.38
6. Step 6: Final answer
   x = 183,333.49