Finding the Third Proportional to 38,674 and 61,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,674 : 61,538.50 = 61,538.50 : x
2. Step 2: Convert to fraction form
   38,674/61,538.50 = 61,538.50/x
3. Step 3: Cross multiply
   38,674x = 61,538.50 × 61,538.50
4. Step 4: Simplify right side
   38,674x = 3,786,986,982.25
5. Step 5: Solve for x
   x = 3,786,986,982.25/38,674
6. Step 6: Final answer
   x = 97,920.75