Finding the Third Proportional to 1,526.34 and 2,289.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.34 : 2,289.52 = 2,289.52 : x
2. Step 2: Convert to fraction form
   1,526.34/2,289.52 = 2,289.52/x
3. Step 3: Cross multiply
   1,526.34x = 2,289.52 × 2,289.52
4. Step 4: Simplify right side
   1,526.34x = 5,241,881.80
5. Step 5: Solve for x
   x = 5,241,881.80/1,526.34
6. Step 6: Final answer
   x = 3,434.27