Finding the Third Proportional to 16,588.50 and 35,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,588.50 : 35,096.50 = 35,096.50 : x
2. Step 2: Convert to fraction form
   16,588.50/35,096.50 = 35,096.50/x
3. Step 3: Cross multiply
   16,588.50x = 35,096.50 × 35,096.50
4. Step 4: Simplify right side
   16,588.50x = 1,231,764,312.25
5. Step 5: Solve for x
   x = 1,231,764,312.25/16,588.50
6. Step 6: Final answer
   x = 74,254.11