Finding the Third Proportional to 40,038.05 and 83,971.69

Step by Step Solution

1. Step 1: Write the proportion equation
   40,038.05 : 83,971.69 = 83,971.69 : x
2. Step 2: Convert to fraction form
   40,038.05/83,971.69 = 83,971.69/x
3. Step 3: Cross multiply
   40,038.05x = 83,971.69 × 83,971.69
4. Step 4: Simplify right side
   40,038.05x = 7,051,244,301.60
5. Step 5: Solve for x
   x = 7,051,244,301.60/40,038.05
6. Step 6: Final answer
   x = 176,113.59