Finding the Third Proportional to 1,462.88 and 1,970.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.88 : 1,970.81 = 1,970.81 : x
2. Step 2: Convert to fraction form
   1,462.88/1,970.81 = 1,970.81/x
3. Step 3: Cross multiply
   1,462.88x = 1,970.81 × 1,970.81
4. Step 4: Simplify right side
   1,462.88x = 3,884,101.91
5. Step 5: Solve for x
   x = 3,884,101.91/1,462.88
6. Step 6: Final answer
   x = 2,655.12