Finding the Third Proportional to 38,121.75 and 83,513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,121.75 : 83,513.25 = 83,513.25 : x
2. Step 2: Convert to fraction form
   38,121.75/83,513.25 = 83,513.25/x
3. Step 3: Cross multiply
   38,121.75x = 83,513.25 × 83,513.25
4. Step 4: Simplify right side
   38,121.75x = 6,974,462,925.56
5. Step 5: Solve for x
   x = 6,974,462,925.56/38,121.75
6. Step 6: Final answer
   x = 182,952.33