Finding the Third Proportional to 45,681 and 68,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,681 : 68,335.50 = 68,335.50 : x
2. Step 2: Convert to fraction form
   45,681/68,335.50 = 68,335.50/x
3. Step 3: Cross multiply
   45,681x = 68,335.50 × 68,335.50
4. Step 4: Simplify right side
   45,681x = 4,669,740,560.25
5. Step 5: Solve for x
   x = 4,669,740,560.25/45,681
6. Step 6: Final answer
   x = 102,225.01