Finding the Third Proportional to 65,643 and 101,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,643 : 101,836.50 = 101,836.50 : x
2. Step 2: Convert to fraction form
   65,643/101,836.50 = 101,836.50/x
3. Step 3: Cross multiply
   65,643x = 101,836.50 × 101,836.50
4. Step 4: Simplify right side
   65,643x = 10,370,672,732.25
5. Step 5: Solve for x
   x = 10,370,672,732.25/65,643
6. Step 6: Final answer
   x = 157,985.97