Finding the Third Proportional to 38,089 and 59,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,089 : 59,563.50 = 59,563.50 : x
2. Step 2: Convert to fraction form
   38,089/59,563.50 = 59,563.50/x
3. Step 3: Cross multiply
   38,089x = 59,563.50 × 59,563.50
4. Step 4: Simplify right side
   38,089x = 3,547,810,532.25
5. Step 5: Solve for x
   x = 3,547,810,532.25/38,089
6. Step 6: Final answer
   x = 93,145.28