Finding the Third Proportional to 17,507.50 and 23,588.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,507.50 : 23,588.25 = 23,588.25 : x
2. Step 2: Convert to fraction form
   17,507.50/23,588.25 = 23,588.25/x
3. Step 3: Cross multiply
   17,507.50x = 23,588.25 × 23,588.25
4. Step 4: Simplify right side
   17,507.50x = 556,405,538.06
5. Step 5: Solve for x
   x = 556,405,538.06/17,507.50
6. Step 6: Final answer
   x = 31,780.98