Finding the Third Proportional to 23,769 and 38,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,769 : 38,317.50 = 38,317.50 : x
2. Step 2: Convert to fraction form
   23,769/38,317.50 = 38,317.50/x
3. Step 3: Cross multiply
   23,769x = 38,317.50 × 38,317.50
4. Step 4: Simplify right side
   23,769x = 1,468,230,806.25
5. Step 5: Solve for x
   x = 1,468,230,806.25/23,769
6. Step 6: Final answer
   x = 61,770.83