Finding the Third Proportional to 13,912.50 and 32,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,912.50 : 32,824.50 = 32,824.50 : x
2. Step 2: Convert to fraction form
   13,912.50/32,824.50 = 32,824.50/x
3. Step 3: Cross multiply
   13,912.50x = 32,824.50 × 32,824.50
4. Step 4: Simplify right side
   13,912.50x = 1,077,447,800.25
5. Step 5: Solve for x
   x = 1,077,447,800.25/13,912.50
6. Step 6: Final answer
   x = 77,444.59