Finding the Third Proportional to 32,906.25 and 70,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,906.25 : 70,186.50 = 70,186.50 : x
2. Step 2: Convert to fraction form
   32,906.25/70,186.50 = 70,186.50/x
3. Step 3: Cross multiply
   32,906.25x = 70,186.50 × 70,186.50
4. Step 4: Simplify right side
   32,906.25x = 4,926,144,782.25
5. Step 5: Solve for x
   x = 4,926,144,782.25/32,906.25
6. Step 6: Final answer
   x = 149,702.41