Finding the Third Proportional to 35,471 and 51,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,471 : 51,842.50 = 51,842.50 : x
2. Step 2: Convert to fraction form
   35,471/51,842.50 = 51,842.50/x
3. Step 3: Cross multiply
   35,471x = 51,842.50 × 51,842.50
4. Step 4: Simplify right side
   35,471x = 2,687,644,806.25
5. Step 5: Solve for x
   x = 2,687,644,806.25/35,471
6. Step 6: Final answer
   x = 75,770.20