Finding the Third Proportional to 32,099 and 69,274

Step by Step Solution

1. Step 1: Write the proportion equation
   32,099 : 69,274 = 69,274 : x
2. Step 2: Convert to fraction form
   32,099/69,274 = 69,274/x
3. Step 3: Cross multiply
   32,099x = 69,274 × 69,274
4. Step 4: Simplify right side
   32,099x = 4,798,887,076
5. Step 5: Solve for x
   x = 4,798,887,076/32,099
6. Step 6: Final answer
   x = 149,502.70