Finding the Third Proportional to 35,802 and 83,602.13

Step by Step Solution

1. Step 1: Write the proportion equation
   35,802 : 83,602.13 = 83,602.13 : x
2. Step 2: Convert to fraction form
   35,802/83,602.13 = 83,602.13/x
3. Step 3: Cross multiply
   35,802x = 83,602.13 × 83,602.13
4. Step 4: Simplify right side
   35,802x = 6,989,315,304.52
5. Step 5: Solve for x
   x = 6,989,315,304.52/35,802
6. Step 6: Final answer
   x = 195,221.36