Finding the Third Proportional to 13,506 and 31,417

Step by Step Solution

1. Step 1: Write the proportion equation
   13,506 : 31,417 = 31,417 : x
2. Step 2: Convert to fraction form
   13,506/31,417 = 31,417/x
3. Step 3: Cross multiply
   13,506x = 31,417 × 31,417
4. Step 4: Simplify right side
   13,506x = 987,027,889
5. Step 5: Solve for x
   x = 987,027,889/13,506
6. Step 6: Final answer
   x = 73,080.70