Finding the Third Proportional to 53,834 and 77,060

Step by Step Solution

1. Step 1: Write the proportion equation
   53,834 : 77,060 = 77,060 : x
2. Step 2: Convert to fraction form
   53,834/77,060 = 77,060/x
3. Step 3: Cross multiply
   53,834x = 77,060 × 77,060
4. Step 4: Simplify right side
   53,834x = 5,938,243,600
5. Step 5: Solve for x
   x = 5,938,243,600/53,834
6. Step 6: Final answer
   x = 110,306.56