Finding the Third Proportional to 38,863.25 and 83,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,863.25 : 83,672.50 = 83,672.50 : x
2. Step 2: Convert to fraction form
   38,863.25/83,672.50 = 83,672.50/x
3. Step 3: Cross multiply
   38,863.25x = 83,672.50 × 83,672.50
4. Step 4: Simplify right side
   38,863.25x = 7,001,087,256.25
5. Step 5: Solve for x
   x = 7,001,087,256.25/38,863.25
6. Step 6: Final answer
   x = 180,146.73