Finding the Third Proportional to 41,748.50 and 85,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,748.50 : 85,541.50 = 85,541.50 : x
2. Step 2: Convert to fraction form
   41,748.50/85,541.50 = 85,541.50/x
3. Step 3: Cross multiply
   41,748.50x = 85,541.50 × 85,541.50
4. Step 4: Simplify right side
   41,748.50x = 7,317,348,222.25
5. Step 5: Solve for x
   x = 7,317,348,222.25/41,748.50
6. Step 6: Final answer
   x = 175,272.12