Finding the Third Proportional to 34,661 and 55,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,661 : 55,096.50 = 55,096.50 : x
2. Step 2: Convert to fraction form
   34,661/55,096.50 = 55,096.50/x
3. Step 3: Cross multiply
   34,661x = 55,096.50 × 55,096.50
4. Step 4: Simplify right side
   34,661x = 3,035,624,312.25
5. Step 5: Solve for x
   x = 3,035,624,312.25/34,661
6. Step 6: Final answer
   x = 87,580.40