Finding the Third Proportional to 15,737 and 34,066

Step by Step Solution

1. Step 1: Write the proportion equation
   15,737 : 34,066 = 34,066 : x
2. Step 2: Convert to fraction form
   15,737/34,066 = 34,066/x
3. Step 3: Cross multiply
   15,737x = 34,066 × 34,066
4. Step 4: Simplify right side
   15,737x = 1,160,492,356
5. Step 5: Solve for x
   x = 1,160,492,356/15,737
6. Step 6: Final answer
   x = 73,742.92