Finding the Third Proportional to 2,892.38 and 6,091.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.38 : 6,091.88 = 6,091.88 : x
2. Step 2: Convert to fraction form
   2,892.38/6,091.88 = 6,091.88/x
3. Step 3: Cross multiply
   2,892.38x = 6,091.88 × 6,091.88
4. Step 4: Simplify right side
   2,892.38x = 37,110,941.02
5. Step 5: Solve for x
   x = 37,110,941.02/2,892.38
6. Step 6: Final answer
   x = 12,830.61