Finding the Third Proportional to 12,830 and 28,178

Step by Step Solution

1. Step 1: Write the proportion equation
   12,830 : 28,178 = 28,178 : x
2. Step 2: Convert to fraction form
   12,830/28,178 = 28,178/x
3. Step 3: Cross multiply
   12,830x = 28,178 × 28,178
4. Step 4: Simplify right side
   12,830x = 793,999,684
5. Step 5: Solve for x
   x = 793,999,684/12,830
6. Step 6: Final answer
   x = 61,886.18