Finding the Third Proportional to 45,588 and 69,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,588 : 69,976.50 = 69,976.50 : x
2. Step 2: Convert to fraction form
   45,588/69,976.50 = 69,976.50/x
3. Step 3: Cross multiply
   45,588x = 69,976.50 × 69,976.50
4. Step 4: Simplify right side
   45,588x = 4,896,710,552.25
5. Step 5: Solve for x
   x = 4,896,710,552.25/45,588
6. Step 6: Final answer
   x = 107,412.27