Finding the Third Proportional to 15,007 and 32,141

Step by Step Solution

1. Step 1: Write the proportion equation
   15,007 : 32,141 = 32,141 : x
2. Step 2: Convert to fraction form
   15,007/32,141 = 32,141/x
3. Step 3: Cross multiply
   15,007x = 32,141 × 32,141
4. Step 4: Simplify right side
   15,007x = 1,033,043,881
5. Step 5: Solve for x
   x = 1,033,043,881/15,007
6. Step 6: Final answer
   x = 68,837.47