Finding the Third Proportional to 64,810 and 101,535

Step by Step Solution

1. Step 1: Write the proportion equation
   64,810 : 101,535 = 101,535 : x
2. Step 2: Convert to fraction form
   64,810/101,535 = 101,535/x
3. Step 3: Cross multiply
   64,810x = 101,535 × 101,535
4. Step 4: Simplify right side
   64,810x = 10,309,356,225
5. Step 5: Solve for x
   x = 10,309,356,225/64,810
6. Step 6: Final answer
   x = 159,070.46