Finding the Third Proportional to 33,644.25 and 70,776

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644.25 : 70,776 = 70,776 : x
2. Step 2: Convert to fraction form
   33,644.25/70,776 = 70,776/x
3. Step 3: Cross multiply
   33,644.25x = 70,776 × 70,776
4. Step 4: Simplify right side
   33,644.25x = 5,009,242,176
5. Step 5: Solve for x
   x = 5,009,242,176/33,644.25
6. Step 6: Final answer
   x = 148,888.51