Finding the Third Proportional to 14,878.50 and 32,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,878.50 : 32,206.50 = 32,206.50 : x
2. Step 2: Convert to fraction form
   14,878.50/32,206.50 = 32,206.50/x
3. Step 3: Cross multiply
   14,878.50x = 32,206.50 × 32,206.50
4. Step 4: Simplify right side
   14,878.50x = 1,037,258,642.25
5. Step 5: Solve for x
   x = 1,037,258,642.25/14,878.50
6. Step 6: Final answer
   x = 69,715.27