Finding the Third Proportional to 35,569.50 and 82,347.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,569.50 : 82,347.56 = 82,347.56 : x
2. Step 2: Convert to fraction form
   35,569.50/82,347.56 = 82,347.56/x
3. Step 3: Cross multiply
   35,569.50x = 82,347.56 × 82,347.56
4. Step 4: Simplify right side
   35,569.50x = 6,781,121,049.69
5. Step 5: Solve for x
   x = 6,781,121,049.69/35,569.50
6. Step 6: Final answer
   x = 190,644.26