Finding the Third Proportional to 23,823 and 37,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 37,780.50 = 37,780.50 : x
2. Step 2: Convert to fraction form
   23,823/37,780.50 = 37,780.50/x
3. Step 3: Cross multiply
   23,823x = 37,780.50 × 37,780.50
4. Step 4: Simplify right side
   23,823x = 1,427,366,180.25
5. Step 5: Solve for x
   x = 1,427,366,180.25/23,823
6. Step 6: Final answer
   x = 59,915.47