Finding the Third Proportional to 749.50 and 1,072.88

Step by Step Solution

1. Step 1: Write the proportion equation
   749.50 : 1,072.88 = 1,072.88 : x
2. Step 2: Convert to fraction form
   749.50/1,072.88 = 1,072.88/x
3. Step 3: Cross multiply
   749.50x = 1,072.88 × 1,072.88
4. Step 4: Simplify right side
   749.50x = 1,151,060.77
5. Step 5: Solve for x
   x = 1,151,060.77/749.50
6. Step 6: Final answer
   x = 1,535.77