Finding the Third Proportional to 32,916 and 69,754

Step by Step Solution

1. Step 1: Write the proportion equation
   32,916 : 69,754 = 69,754 : x
2. Step 2: Convert to fraction form
   32,916/69,754 = 69,754/x
3. Step 3: Cross multiply
   32,916x = 69,754 × 69,754
4. Step 4: Simplify right side
   32,916x = 4,865,620,516
5. Step 5: Solve for x
   x = 4,865,620,516/32,916
6. Step 6: Final answer
   x = 147,819.31