Finding the Third Proportional to 38,892 and 84,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,892 : 84,823.50 = 84,823.50 : x
2. Step 2: Convert to fraction form
   38,892/84,823.50 = 84,823.50/x
3. Step 3: Cross multiply
   38,892x = 84,823.50 × 84,823.50
4. Step 4: Simplify right side
   38,892x = 7,195,026,152.25
5. Step 5: Solve for x
   x = 7,195,026,152.25/38,892
6. Step 6: Final answer
   x = 185,000.16