Finding the Third Proportional to 4,522.50 and 7,001.86

Step by Step Solution

1. Step 1: Write the proportion equation
   4,522.50 : 7,001.86 = 7,001.86 : x
2. Step 2: Convert to fraction form
   4,522.50/7,001.86 = 7,001.86/x
3. Step 3: Cross multiply
   4,522.50x = 7,001.86 × 7,001.86
4. Step 4: Simplify right side
   4,522.50x = 49,026,034.71
5. Step 5: Solve for x
   x = 49,026,034.71/4,522.50
6. Step 6: Final answer
   x = 10,840.47