Finding the Third Proportional to 45,102 and 64,106

Step by Step Solution

1. Step 1: Write the proportion equation
   45,102 : 64,106 = 64,106 : x
2. Step 2: Convert to fraction form
   45,102/64,106 = 64,106/x
3. Step 3: Cross multiply
   45,102x = 64,106 × 64,106
4. Step 4: Simplify right side
   45,102x = 4,109,579,236
5. Step 5: Solve for x
   x = 4,109,579,236/45,102
6. Step 6: Final answer
   x = 91,117.45