Finding the Third Proportional to 40,851 and 64,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,851 : 64,192.50 = 64,192.50 : x
2. Step 2: Convert to fraction form
   40,851/64,192.50 = 64,192.50/x
3. Step 3: Cross multiply
   40,851x = 64,192.50 × 64,192.50
4. Step 4: Simplify right side
   40,851x = 4,120,677,056.25
5. Step 5: Solve for x
   x = 4,120,677,056.25/40,851
6. Step 6: Final answer
   x = 100,870.90