Finding the Third Proportional to 7,461 and 17,588.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,461 : 17,588.25 = 17,588.25 : x
2. Step 2: Convert to fraction form
   7,461/17,588.25 = 17,588.25/x
3. Step 3: Cross multiply
   7,461x = 17,588.25 × 17,588.25
4. Step 4: Simplify right side
   7,461x = 309,346,538.06
5. Step 5: Solve for x
   x = 309,346,538.06/7,461
6. Step 6: Final answer
   x = 41,461.81