Finding the Third Proportional to 1,010.63 and 1,620.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.63 : 1,620.56 = 1,620.56 : x
2. Step 2: Convert to fraction form
   1,010.63/1,620.56 = 1,620.56/x
3. Step 3: Cross multiply
   1,010.63x = 1,620.56 × 1,620.56
4. Step 4: Simplify right side
   1,010.63x = 2,626,222.82
5. Step 5: Solve for x
   x = 2,626,222.82/1,010.63
6. Step 6: Final answer
   x = 2,598.61