Finding the Third Proportional to 38,191.50 and 83,905.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,191.50 : 83,905.88 = 83,905.88 : x
2. Step 2: Convert to fraction form
   38,191.50/83,905.88 = 83,905.88/x
3. Step 3: Cross multiply
   38,191.50x = 83,905.88 × 83,905.88
4. Step 4: Simplify right side
   38,191.50x = 7,040,195,859.52
5. Step 5: Solve for x
   x = 7,040,195,859.52/38,191.50
6. Step 6: Final answer
   x = 184,339.34