Finding the Third Proportional to 38,861.75 and 83,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,861.75 : 83,853.50 = 83,853.50 : x
2. Step 2: Convert to fraction form
   38,861.75/83,853.50 = 83,853.50/x
3. Step 3: Cross multiply
   38,861.75x = 83,853.50 × 83,853.50
4. Step 4: Simplify right side
   38,861.75x = 7,031,409,462.25
5. Step 5: Solve for x
   x = 7,031,409,462.25/38,861.75
6. Step 6: Final answer
   x = 180,933.94