Finding the Third Proportional to 53,679 and 72,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,679 : 72,894.50 = 72,894.50 : x
2. Step 2: Convert to fraction form
   53,679/72,894.50 = 72,894.50/x
3. Step 3: Cross multiply
   53,679x = 72,894.50 × 72,894.50
4. Step 4: Simplify right side
   53,679x = 5,313,608,130.25
5. Step 5: Solve for x
   x = 5,313,608,130.25/53,679
6. Step 6: Final answer
   x = 98,988.58