Finding the Third Proportional to 51,404.63 and 78,564.94

Step by Step Solution

1. Step 1: Write the proportion equation
   51,404.63 : 78,564.94 = 78,564.94 : x
2. Step 2: Convert to fraction form
   51,404.63/78,564.94 = 78,564.94/x
3. Step 3: Cross multiply
   51,404.63x = 78,564.94 × 78,564.94
4. Step 4: Simplify right side
   51,404.63x = 6,172,449,404.38
5. Step 5: Solve for x
   x = 6,172,449,404.38/51,404.63
6. Step 6: Final answer
   x = 120,075.76