Finding the Third Proportional to 29,697 and 41,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,697 : 41,809.50 = 41,809.50 : x
2. Step 2: Convert to fraction form
   29,697/41,809.50 = 41,809.50/x
3. Step 3: Cross multiply
   29,697x = 41,809.50 × 41,809.50
4. Step 4: Simplify right side
   29,697x = 1,748,034,290.25
5. Step 5: Solve for x
   x = 1,748,034,290.25/29,697
6. Step 6: Final answer
   x = 58,862.32