Finding the Third Proportional to 31,836 and 67,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,836 : 67,156.50 = 67,156.50 : x
2. Step 2: Convert to fraction form
   31,836/67,156.50 = 67,156.50/x
3. Step 3: Cross multiply
   31,836x = 67,156.50 × 67,156.50
4. Step 4: Simplify right side
   31,836x = 4,509,995,492.25
5. Step 5: Solve for x
   x = 4,509,995,492.25/31,836
6. Step 6: Final answer
   x = 141,663.38