Finding the Third Proportional to 38,210 and 83,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,210 : 83,983.50 = 83,983.50 : x
2. Step 2: Convert to fraction form
   38,210/83,983.50 = 83,983.50/x
3. Step 3: Cross multiply
   38,210x = 83,983.50 × 83,983.50
4. Step 4: Simplify right side
   38,210x = 7,053,228,272.25
5. Step 5: Solve for x
   x = 7,053,228,272.25/38,210
6. Step 6: Final answer
   x = 184,591.16