Finding the Third Proportional to 32,308 and 69,710

Step by Step Solution

1. Step 1: Write the proportion equation
   32,308 : 69,710 = 69,710 : x
2. Step 2: Convert to fraction form
   32,308/69,710 = 69,710/x
3. Step 3: Cross multiply
   32,308x = 69,710 × 69,710
4. Step 4: Simplify right side
   32,308x = 4,859,484,100
5. Step 5: Solve for x
   x = 4,859,484,100/32,308
6. Step 6: Final answer
   x = 150,411.17