Finding the Third Proportional to 53,379 and 77,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,379 : 77,314.50 = 77,314.50 : x
2. Step 2: Convert to fraction form
   53,379/77,314.50 = 77,314.50/x
3. Step 3: Cross multiply
   53,379x = 77,314.50 × 77,314.50
4. Step 4: Simplify right side
   53,379x = 5,977,531,910.25
5. Step 5: Solve for x
   x = 5,977,531,910.25/53,379
6. Step 6: Final answer
   x = 111,982.84