Finding the Third Proportional to 32,767.50 and 69,819

Step by Step Solution

1. Step 1: Write the proportion equation
   32,767.50 : 69,819 = 69,819 : x
2. Step 2: Convert to fraction form
   32,767.50/69,819 = 69,819/x
3. Step 3: Cross multiply
   32,767.50x = 69,819 × 69,819
4. Step 4: Simplify right side
   32,767.50x = 4,874,692,761
5. Step 5: Solve for x
   x = 4,874,692,761/32,767.50
6. Step 6: Final answer
   x = 148,766.09