Finding the Third Proportional to 17,835 and 37,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,835 : 37,960.50 = 37,960.50 : x
2. Step 2: Convert to fraction form
   17,835/37,960.50 = 37,960.50/x
3. Step 3: Cross multiply
   17,835x = 37,960.50 × 37,960.50
4. Step 4: Simplify right side
   17,835x = 1,440,999,560.25
5. Step 5: Solve for x
   x = 1,440,999,560.25/17,835
6. Step 6: Final answer
   x = 80,796.16