Finding the Third Proportional to 35,964 and 78,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,964 : 78,489.50 = 78,489.50 : x
2. Step 2: Convert to fraction form
   35,964/78,489.50 = 78,489.50/x
3. Step 3: Cross multiply
   35,964x = 78,489.50 × 78,489.50
4. Step 4: Simplify right side
   35,964x = 6,160,601,610.25
5. Step 5: Solve for x
   x = 6,160,601,610.25/35,964
6. Step 6: Final answer
   x = 171,299.12