Finding the Third Proportional to 32,623 and 69,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,623 : 69,518.50 = 69,518.50 : x
2. Step 2: Convert to fraction form
   32,623/69,518.50 = 69,518.50/x
3. Step 3: Cross multiply
   32,623x = 69,518.50 × 69,518.50
4. Step 4: Simplify right side
   32,623x = 4,832,821,842.25
5. Step 5: Solve for x
   x = 4,832,821,842.25/32,623
6. Step 6: Final answer
   x = 148,141.55