Finding the Third Proportional to 33,984 and 71,066.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,984 : 71,066.25 = 71,066.25 : x
2. Step 2: Convert to fraction form
   33,984/71,066.25 = 71,066.25/x
3. Step 3: Cross multiply
   33,984x = 71,066.25 × 71,066.25
4. Step 4: Simplify right side
   33,984x = 5,050,411,889.06
5. Step 5: Solve for x
   x = 5,050,411,889.06/33,984
6. Step 6: Final answer
   x = 148,611.46