Finding the Third Proportional to 32,769 and 69,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,769 : 69,547.50 = 69,547.50 : x
2. Step 2: Convert to fraction form
   32,769/69,547.50 = 69,547.50/x
3. Step 3: Cross multiply
   32,769x = 69,547.50 × 69,547.50
4. Step 4: Simplify right side
   32,769x = 4,836,854,756.25
5. Step 5: Solve for x
   x = 4,836,854,756.25/32,769
6. Step 6: Final answer
   x = 147,604.59