Finding the Third Proportional to 24,342.50 and 31,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,342.50 : 31,005.50 = 31,005.50 : x
2. Step 2: Convert to fraction form
   24,342.50/31,005.50 = 31,005.50/x
3. Step 3: Cross multiply
   24,342.50x = 31,005.50 × 31,005.50
4. Step 4: Simplify right side
   24,342.50x = 961,341,030.25
5. Step 5: Solve for x
   x = 961,341,030.25/24,342.50
6. Step 6: Final answer
   x = 39,492.29