Finding the Third Proportional to 38,514.75 and 83,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,514.75 : 83,347.50 = 83,347.50 : x
2. Step 2: Convert to fraction form
   38,514.75/83,347.50 = 83,347.50/x
3. Step 3: Cross multiply
   38,514.75x = 83,347.50 × 83,347.50
4. Step 4: Simplify right side
   38,514.75x = 6,946,805,756.25
5. Step 5: Solve for x
   x = 6,946,805,756.25/38,514.75
6. Step 6: Final answer
   x = 180,367.41