Finding the Third Proportional to 782.47 and 1,038.76

Step by Step Solution

1. Step 1: Write the proportion equation
   782.47 : 1,038.76 = 1,038.76 : x
2. Step 2: Convert to fraction form
   782.47/1,038.76 = 1,038.76/x
3. Step 3: Cross multiply
   782.47x = 1,038.76 × 1,038.76
4. Step 4: Simplify right side
   782.47x = 1,079,025.91
5. Step 5: Solve for x
   x = 1,079,025.91/782.47
6. Step 6: Final answer
   x = 1,379.00