Finding the Third Proportional to 14,892 and 23,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,892 : 23,077.50 = 23,077.50 : x
2. Step 2: Convert to fraction form
   14,892/23,077.50 = 23,077.50/x
3. Step 3: Cross multiply
   14,892x = 23,077.50 × 23,077.50
4. Step 4: Simplify right side
   14,892x = 532,571,006.25
5. Step 5: Solve for x
   x = 532,571,006.25/14,892
6. Step 6: Final answer
   x = 35,762.22