Finding the Third Proportional to 33,655.50 and 69,501

Step by Step Solution

1. Step 1: Write the proportion equation
   33,655.50 : 69,501 = 69,501 : x
2. Step 2: Convert to fraction form
   33,655.50/69,501 = 69,501/x
3. Step 3: Cross multiply
   33,655.50x = 69,501 × 69,501
4. Step 4: Simplify right side
   33,655.50x = 4,830,389,001
5. Step 5: Solve for x
   x = 4,830,389,001/33,655.50
6. Step 6: Final answer
   x = 143,524.51