Finding the Third Proportional to 10,588.50 and 17,476.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.50 : 17,476.88 = 17,476.88 : x
2. Step 2: Convert to fraction form
   10,588.50/17,476.88 = 17,476.88/x
3. Step 3: Cross multiply
   10,588.50x = 17,476.88 × 17,476.88
4. Step 4: Simplify right side
   10,588.50x = 305,441,159.77
5. Step 5: Solve for x
   x = 305,441,159.77/10,588.50
6. Step 6: Final answer
   x = 28,846.50