Finding the Third Proportional to 51,595.50 and 77,156.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,595.50 : 77,156.25 = 77,156.25 : x
2. Step 2: Convert to fraction form
   51,595.50/77,156.25 = 77,156.25/x
3. Step 3: Cross multiply
   51,595.50x = 77,156.25 × 77,156.25
4. Step 4: Simplify right side
   51,595.50x = 5,953,086,914.06
5. Step 5: Solve for x
   x = 5,953,086,914.06/51,595.50
6. Step 6: Final answer
   x = 115,379.96