Finding the Third Proportional to 10,084.50 and 27,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.50 : 27,094.50 = 27,094.50 : x
2. Step 2: Convert to fraction form
   10,084.50/27,094.50 = 27,094.50/x
3. Step 3: Cross multiply
   10,084.50x = 27,094.50 × 27,094.50
4. Step 4: Simplify right side
   10,084.50x = 734,111,930.25
5. Step 5: Solve for x
   x = 734,111,930.25/10,084.50
6. Step 6: Final answer
   x = 72,796.07