Finding the Third Proportional to 38,121.50 and 83,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,121.50 : 83,627.50 = 83,627.50 : x
2. Step 2: Convert to fraction form
   38,121.50/83,627.50 = 83,627.50/x
3. Step 3: Cross multiply
   38,121.50x = 83,627.50 × 83,627.50
4. Step 4: Simplify right side
   38,121.50x = 6,993,558,756.25
5. Step 5: Solve for x
   x = 6,993,558,756.25/38,121.50
6. Step 6: Final answer
   x = 183,454.45