Finding the Third Proportional to 48,964 and 64,662

Step by Step Solution

1. Step 1: Write the proportion equation
   48,964 : 64,662 = 64,662 : x
2. Step 2: Convert to fraction form
   48,964/64,662 = 64,662/x
3. Step 3: Cross multiply
   48,964x = 64,662 × 64,662
4. Step 4: Simplify right side
   48,964x = 4,181,174,244
5. Step 5: Solve for x
   x = 4,181,174,244/48,964
6. Step 6: Final answer
   x = 85,392.82