Finding the Third Proportional to 38,707.50 and 59,823

Step by Step Solution

1. Step 1: Write the proportion equation
   38,707.50 : 59,823 = 59,823 : x
2. Step 2: Convert to fraction form
   38,707.50/59,823 = 59,823/x
3. Step 3: Cross multiply
   38,707.50x = 59,823 × 59,823
4. Step 4: Simplify right side
   38,707.50x = 3,578,791,329
5. Step 5: Solve for x
   x = 3,578,791,329/38,707.50
6. Step 6: Final answer
   x = 92,457.31