Finding the Third Proportional to 33,742.13 and 71,636.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,742.13 : 71,636.63 = 71,636.63 : x
2. Step 2: Convert to fraction form
   33,742.13/71,636.63 = 71,636.63/x
3. Step 3: Cross multiply
   33,742.13x = 71,636.63 × 71,636.63
4. Step 4: Simplify right side
   33,742.13x = 5,131,806,041.39
5. Step 5: Solve for x
   x = 5,131,806,041.39/33,742.13
6. Step 6: Final answer
   x = 152,089.00