Finding the Third Proportional to 32,302 and 69,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,302 : 69,297.50 = 69,297.50 : x
2. Step 2: Convert to fraction form
   32,302/69,297.50 = 69,297.50/x
3. Step 3: Cross multiply
   32,302x = 69,297.50 × 69,297.50
4. Step 4: Simplify right side
   32,302x = 4,802,143,506.25
5. Step 5: Solve for x
   x = 4,802,143,506.25/32,302
6. Step 6: Final answer
   x = 148,663.97