Finding the Third Proportional to 32,310 and 69,712

Step by Step Solution

1. Step 1: Write the proportion equation
   32,310 : 69,712 = 69,712 : x
2. Step 2: Convert to fraction form
   32,310/69,712 = 69,712/x
3. Step 3: Cross multiply
   32,310x = 69,712 × 69,712
4. Step 4: Simplify right side
   32,310x = 4,859,762,944
5. Step 5: Solve for x
   x = 4,859,762,944/32,310
6. Step 6: Final answer
   x = 150,410.49