Finding the Third Proportional to 42,698 and 64,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,698 : 64,184.50 = 64,184.50 : x
2. Step 2: Convert to fraction form
   42,698/64,184.50 = 64,184.50/x
3. Step 3: Cross multiply
   42,698x = 64,184.50 × 64,184.50
4. Step 4: Simplify right side
   42,698x = 4,119,650,040.25
5. Step 5: Solve for x
   x = 4,119,650,040.25/42,698
6. Step 6: Final answer
   x = 96,483.44