Finding the Third Proportional to 38,569.50 and 74,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,569.50 : 74,182.50 = 74,182.50 : x
2. Step 2: Convert to fraction form
   38,569.50/74,182.50 = 74,182.50/x
3. Step 3: Cross multiply
   38,569.50x = 74,182.50 × 74,182.50
4. Step 4: Simplify right side
   38,569.50x = 5,503,043,306.25
5. Step 5: Solve for x
   x = 5,503,043,306.25/38,569.50
6. Step 6: Final answer
   x = 142,678.63