Finding the Third Proportional to 40,209.75 and 61,178.63

Step by Step Solution

1. Step 1: Write the proportion equation
   40,209.75 : 61,178.63 = 61,178.63 : x
2. Step 2: Convert to fraction form
   40,209.75/61,178.63 = 61,178.63/x
3. Step 3: Cross multiply
   40,209.75x = 61,178.63 × 61,178.63
4. Step 4: Simplify right side
   40,209.75x = 3,742,824,156.89
5. Step 5: Solve for x
   x = 3,742,824,156.89/40,209.75
6. Step 6: Final answer
   x = 93,082.50