Finding the Third Proportional to 1,526.34 and 1,672.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.34 : 1,672.52 = 1,672.52 : x
2. Step 2: Convert to fraction form
   1,526.34/1,672.52 = 1,672.52/x
3. Step 3: Cross multiply
   1,526.34x = 1,672.52 × 1,672.52
4. Step 4: Simplify right side
   1,526.34x = 2,797,334.65
5. Step 5: Solve for x
   x = 2,797,334.65/1,526.34
6. Step 6: Final answer
   x = 1,832.70