Finding the Third Proportional to 41,405 and 58,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,405 : 58,531.50 = 58,531.50 : x
2. Step 2: Convert to fraction form
   41,405/58,531.50 = 58,531.50/x
3. Step 3: Cross multiply
   41,405x = 58,531.50 × 58,531.50
4. Step 4: Simplify right side
   41,405x = 3,425,936,492.25
5. Step 5: Solve for x
   x = 3,425,936,492.25/41,405
6. Step 6: Final answer
   x = 82,742.10