Finding the Third Proportional to 6,294 and 12,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,294 : 12,985.50 = 12,985.50 : x
2. Step 2: Convert to fraction form
   6,294/12,985.50 = 12,985.50/x
3. Step 3: Cross multiply
   6,294x = 12,985.50 × 12,985.50
4. Step 4: Simplify right side
   6,294x = 168,623,210.25
5. Step 5: Solve for x
   x = 168,623,210.25/6,294
6. Step 6: Final answer
   x = 26,791.10