Finding the Third Proportional to 15,870 and 37,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,870 : 37,598.50 = 37,598.50 : x
2. Step 2: Convert to fraction form
   15,870/37,598.50 = 37,598.50/x
3. Step 3: Cross multiply
   15,870x = 37,598.50 × 37,598.50
4. Step 4: Simplify right side
   15,870x = 1,413,647,202.25
5. Step 5: Solve for x
   x = 1,413,647,202.25/15,870
6. Step 6: Final answer
   x = 89,076.70