Finding the Third Proportional to 64,697 and 102,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,697 : 102,877.50 = 102,877.50 : x
2. Step 2: Convert to fraction form
   64,697/102,877.50 = 102,877.50/x
3. Step 3: Cross multiply
   64,697x = 102,877.50 × 102,877.50
4. Step 4: Simplify right side
   64,697x = 10,583,780,006.25
5. Step 5: Solve for x
   x = 10,583,780,006.25/64,697
6. Step 6: Final answer
   x = 163,589.97