Finding the Third Proportional to 13,520 and 31,588

Step by Step Solution

1. Step 1: Write the proportion equation
   13,520 : 31,588 = 31,588 : x
2. Step 2: Convert to fraction form
   13,520/31,588 = 31,588/x
3. Step 3: Cross multiply
   13,520x = 31,588 × 31,588
4. Step 4: Simplify right side
   13,520x = 997,801,744
5. Step 5: Solve for x
   x = 997,801,744/13,520
6. Step 6: Final answer
   x = 73,801.90