Finding the Third Proportional to 39,298.50 and 83,031.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,298.50 : 83,031.75 = 83,031.75 : x
2. Step 2: Convert to fraction form
   39,298.50/83,031.75 = 83,031.75/x
3. Step 3: Cross multiply
   39,298.50x = 83,031.75 × 83,031.75
4. Step 4: Simplify right side
   39,298.50x = 6,894,271,508.06
5. Step 5: Solve for x
   x = 6,894,271,508.06/39,298.50
6. Step 6: Final answer
   x = 175,433.45