Finding the Third Proportional to 34,708.50 and 83,657.81

Step by Step Solution

1. Step 1: Write the proportion equation
   34,708.50 : 83,657.81 = 83,657.81 : x
2. Step 2: Convert to fraction form
   34,708.50/83,657.81 = 83,657.81/x
3. Step 3: Cross multiply
   34,708.50x = 83,657.81 × 83,657.81
4. Step 4: Simplify right side
   34,708.50x = 6,998,629,592.29
5. Step 5: Solve for x
   x = 6,998,629,592.29/34,708.50
6. Step 6: Final answer
   x = 201,640.22