Finding the Third Proportional to 32,238 and 69,516

Step by Step Solution

1. Step 1: Write the proportion equation
   32,238 : 69,516 = 69,516 : x
2. Step 2: Convert to fraction form
   32,238/69,516 = 69,516/x
3. Step 3: Cross multiply
   32,238x = 69,516 × 69,516
4. Step 4: Simplify right side
   32,238x = 4,832,474,256
5. Step 5: Solve for x
   x = 4,832,474,256/32,238
6. Step 6: Final answer
   x = 149,899.94