Finding the Third Proportional to 42,404 and 57,588.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,404 : 57,588.75 = 57,588.75 : x
2. Step 2: Convert to fraction form
   42,404/57,588.75 = 57,588.75/x
3. Step 3: Cross multiply
   42,404x = 57,588.75 × 57,588.75
4. Step 4: Simplify right side
   42,404x = 3,316,464,126.56
5. Step 5: Solve for x
   x = 3,316,464,126.56/42,404
6. Step 6: Final answer
   x = 78,211.12