Finding the Third Proportional to 51,580 and 69,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,580 : 69,593.50 = 69,593.50 : x
2. Step 2: Convert to fraction form
   51,580/69,593.50 = 69,593.50/x
3. Step 3: Cross multiply
   51,580x = 69,593.50 × 69,593.50
4. Step 4: Simplify right side
   51,580x = 4,843,255,242.25
5. Step 5: Solve for x
   x = 4,843,255,242.25/51,580
6. Step 6: Final answer
   x = 93,897.93