Finding the Third Proportional to 1,380 and 1,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380 : 1,492.50 = 1,492.50 : x
2. Step 2: Convert to fraction form
   1,380/1,492.50 = 1,492.50/x
3. Step 3: Cross multiply
   1,380x = 1,492.50 × 1,492.50
4. Step 4: Simplify right side
   1,380x = 2,227,556.25
5. Step 5: Solve for x
   x = 2,227,556.25/1,380
6. Step 6: Final answer
   x = 1,614.17