Finding the Third Proportional to 69,642 and 106,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,642 : 106,095.50 = 106,095.50 : x
2. Step 2: Convert to fraction form
   69,642/106,095.50 = 106,095.50/x
3. Step 3: Cross multiply
   69,642x = 106,095.50 × 106,095.50
4. Step 4: Simplify right side
   69,642x = 11,256,255,120.25
5. Step 5: Solve for x
   x = 11,256,255,120.25/69,642
6. Step 6: Final answer
   x = 161,630.27