Finding the Third Proportional to 13,538 and 29,066

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538 : 29,066 = 29,066 : x
2. Step 2: Convert to fraction form
   13,538/29,066 = 29,066/x
3. Step 3: Cross multiply
   13,538x = 29,066 × 29,066
4. Step 4: Simplify right side
   13,538x = 844,832,356
5. Step 5: Solve for x
   x = 844,832,356/13,538
6. Step 6: Final answer
   x = 62,404.52