Finding the Third Proportional to 31,569.50 and 52,609

Step by Step Solution

1. Step 1: Write the proportion equation
   31,569.50 : 52,609 = 52,609 : x
2. Step 2: Convert to fraction form
   31,569.50/52,609 = 52,609/x
3. Step 3: Cross multiply
   31,569.50x = 52,609 × 52,609
4. Step 4: Simplify right side
   31,569.50x = 2,767,706,881
5. Step 5: Solve for x
   x = 2,767,706,881/31,569.50
6. Step 6: Final answer
   x = 87,670.28