Finding the Third Proportional to 35,762.50 and 78,526

Step by Step Solution

1. Step 1: Write the proportion equation
   35,762.50 : 78,526 = 78,526 : x
2. Step 2: Convert to fraction form
   35,762.50/78,526 = 78,526/x
3. Step 3: Cross multiply
   35,762.50x = 78,526 × 78,526
4. Step 4: Simplify right side
   35,762.50x = 6,166,332,676
5. Step 5: Solve for x
   x = 6,166,332,676/35,762.50
6. Step 6: Final answer
   x = 172,424.54