Finding the Third Proportional to 38,424 and 83,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,424 : 83,854.50 = 83,854.50 : x
2. Step 2: Convert to fraction form
   38,424/83,854.50 = 83,854.50/x
3. Step 3: Cross multiply
   38,424x = 83,854.50 × 83,854.50
4. Step 4: Simplify right side
   38,424x = 7,031,577,170.25
5. Step 5: Solve for x
   x = 7,031,577,170.25/38,424
6. Step 6: Final answer
   x = 182,999.61