Finding the Third Proportional to 13,186 and 28,532

Step by Step Solution

1. Step 1: Write the proportion equation
   13,186 : 28,532 = 28,532 : x
2. Step 2: Convert to fraction form
   13,186/28,532 = 28,532/x
3. Step 3: Cross multiply
   13,186x = 28,532 × 28,532
4. Step 4: Simplify right side
   13,186x = 814,075,024
5. Step 5: Solve for x
   x = 814,075,024/13,186
6. Step 6: Final answer
   x = 61,737.83