Finding the Third Proportional to 53,280 and 76,748

Step by Step Solution

1. Step 1: Write the proportion equation
   53,280 : 76,748 = 76,748 : x
2. Step 2: Convert to fraction form
   53,280/76,748 = 76,748/x
3. Step 3: Cross multiply
   53,280x = 76,748 × 76,748
4. Step 4: Simplify right side
   53,280x = 5,890,255,504
5. Step 5: Solve for x
   x = 5,890,255,504/53,280
6. Step 6: Final answer
   x = 110,552.84