Finding the Third Proportional to 65,742 and 101,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,742 : 101,830.50 = 101,830.50 : x
2. Step 2: Convert to fraction form
   65,742/101,830.50 = 101,830.50/x
3. Step 3: Cross multiply
   65,742x = 101,830.50 × 101,830.50
4. Step 4: Simplify right side
   65,742x = 10,369,450,730.25
5. Step 5: Solve for x
   x = 10,369,450,730.25/65,742
6. Step 6: Final answer
   x = 157,729.47