Finding the Third Proportional to 71,038.50 and 106,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,038.50 : 106,071.50 = 106,071.50 : x
2. Step 2: Convert to fraction form
   71,038.50/106,071.50 = 106,071.50/x
3. Step 3: Cross multiply
   71,038.50x = 106,071.50 × 106,071.50
4. Step 4: Simplify right side
   71,038.50x = 11,251,163,112.25
5. Step 5: Solve for x
   x = 11,251,163,112.25/71,038.50
6. Step 6: Final answer
   x = 158,381.20