Finding the Third Proportional to 762 and 1,030.13

Step by Step Solution

1. Step 1: Write the proportion equation
   762 : 1,030.13 = 1,030.13 : x
2. Step 2: Convert to fraction form
   762/1,030.13 = 1,030.13/x
3. Step 3: Cross multiply
   762x = 1,030.13 × 1,030.13
4. Step 4: Simplify right side
   762x = 1,061,157.52
5. Step 5: Solve for x
   x = 1,061,157.52/762
6. Step 6: Final answer
   x = 1,392.60