Finding the Third Proportional to 7,528 and 17,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,528 : 17,585.50 = 17,585.50 : x
2. Step 2: Convert to fraction form
   7,528/17,585.50 = 17,585.50/x
3. Step 3: Cross multiply
   7,528x = 17,585.50 × 17,585.50
4. Step 4: Simplify right side
   7,528x = 309,249,810.25
5. Step 5: Solve for x
   x = 309,249,810.25/7,528
6. Step 6: Final answer
   x = 41,079.94