Finding the Third Proportional to 17,834 and 27,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,834 : 27,599.50 = 27,599.50 : x
2. Step 2: Convert to fraction form
   17,834/27,599.50 = 27,599.50/x
3. Step 3: Cross multiply
   17,834x = 27,599.50 × 27,599.50
4. Step 4: Simplify right side
   17,834x = 761,732,400.25
5. Step 5: Solve for x
   x = 761,732,400.25/17,834
6. Step 6: Final answer
   x = 42,712.37