Finding the Third Proportional to 1,221.52 and 1,892.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,221.52 : 1,892.61 = 1,892.61 : x
2. Step 2: Convert to fraction form
   1,221.52/1,892.61 = 1,892.61/x
3. Step 3: Cross multiply
   1,221.52x = 1,892.61 × 1,892.61
4. Step 4: Simplify right side
   1,221.52x = 3,581,970.25
5. Step 5: Solve for x
   x = 3,581,970.25/1,221.52
6. Step 6: Final answer
   x = 2,932.40