Finding the Third Proportional to 907 and 1,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   907 : 1,422.50 = 1,422.50 : x
2. Step 2: Convert to fraction form
   907/1,422.50 = 1,422.50/x
3. Step 3: Cross multiply
   907x = 1,422.50 × 1,422.50
4. Step 4: Simplify right side
   907x = 2,023,506.25
5. Step 5: Solve for x
   x = 2,023,506.25/907
6. Step 6: Final answer
   x = 2,230.99