Finding the Third Proportional to 929 and 1,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   929 : 1,527.50 = 1,527.50 : x
2. Step 2: Convert to fraction form
   929/1,527.50 = 1,527.50/x
3. Step 3: Cross multiply
   929x = 1,527.50 × 1,527.50
4. Step 4: Simplify right side
   929x = 2,333,256.25
5. Step 5: Solve for x
   x = 2,333,256.25/929
6. Step 6: Final answer
   x = 2,511.58