Finding the Third Proportional to 707.50 and 1,030.25

Step by Step Solution

1. Step 1: Write the proportion equation
   707.50 : 1,030.25 = 1,030.25 : x
2. Step 2: Convert to fraction form
   707.50/1,030.25 = 1,030.25/x
3. Step 3: Cross multiply
   707.50x = 1,030.25 × 1,030.25
4. Step 4: Simplify right side
   707.50x = 1,061,415.06
5. Step 5: Solve for x
   x = 1,061,415.06/707.50
6. Step 6: Final answer
   x = 1,500.23