Finding the Third Proportional to 14,637 and 34,513

Step by Step Solution

1. Step 1: Write the proportion equation
   14,637 : 34,513 = 34,513 : x
2. Step 2: Convert to fraction form
   14,637/34,513 = 34,513/x
3. Step 3: Cross multiply
   14,637x = 34,513 × 34,513
4. Step 4: Simplify right side
   14,637x = 1,191,147,169
5. Step 5: Solve for x
   x = 1,191,147,169/14,637
6. Step 6: Final answer
   x = 81,379.19