Finding the Third Proportional to 34,809.19 and 83,827.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,809.19 : 83,827.69 = 83,827.69 : x
2. Step 2: Convert to fraction form
   34,809.19/83,827.69 = 83,827.69/x
3. Step 3: Cross multiply
   34,809.19x = 83,827.69 × 83,827.69
4. Step 4: Simplify right side
   34,809.19x = 7,027,081,191.60
5. Step 5: Solve for x
   x = 7,027,081,191.60/34,809.19
6. Step 6: Final answer
   x = 201,874.32