Finding the Third Proportional to 13,117.50 and 24,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,117.50 : 24,322.50 = 24,322.50 : x
2. Step 2: Convert to fraction form
   13,117.50/24,322.50 = 24,322.50/x
3. Step 3: Cross multiply
   13,117.50x = 24,322.50 × 24,322.50
4. Step 4: Simplify right side
   13,117.50x = 591,584,006.25
5. Step 5: Solve for x
   x = 591,584,006.25/13,117.50
6. Step 6: Final answer
   x = 45,098.84