Finding the Third Proportional to 15,984 and 37,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,984 : 37,333.50 = 37,333.50 : x
2. Step 2: Convert to fraction form
   15,984/37,333.50 = 37,333.50/x
3. Step 3: Cross multiply
   15,984x = 37,333.50 × 37,333.50
4. Step 4: Simplify right side
   15,984x = 1,393,790,222.25
5. Step 5: Solve for x
   x = 1,393,790,222.25/15,984
6. Step 6: Final answer
   x = 87,199.09