Finding the Third Proportional to 2,492.50 and 2,725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.50 : 2,725.38 = 2,725.38 : x
2. Step 2: Convert to fraction form
   2,492.50/2,725.38 = 2,725.38/x
3. Step 3: Cross multiply
   2,492.50x = 2,725.38 × 2,725.38
4. Step 4: Simplify right side
   2,492.50x = 7,427,668.89
5. Step 5: Solve for x
   x = 7,427,668.89/2,492.50
6. Step 6: Final answer
   x = 2,980.01