Finding the Third Proportional to 32,162.68 and 69,298.96

Step by Step Solution

1. Step 1: Write the proportion equation
   32,162.68 : 69,298.96 = 69,298.96 : x
2. Step 2: Convert to fraction form
   32,162.68/69,298.96 = 69,298.96/x
3. Step 3: Cross multiply
   32,162.68x = 69,298.96 × 69,298.96
4. Step 4: Simplify right side
   32,162.68x = 4,802,345,953.18
5. Step 5: Solve for x
   x = 4,802,345,953.18/32,162.68
6. Step 6: Final answer
   x = 149,314.26