Finding the Third Proportional to 31,776 and 73,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776 : 73,876.50 = 73,876.50 : x
2. Step 2: Convert to fraction form
   31,776/73,876.50 = 73,876.50/x
3. Step 3: Cross multiply
   31,776x = 73,876.50 × 73,876.50
4. Step 4: Simplify right side
   31,776x = 5,457,737,252.25
5. Step 5: Solve for x
   x = 5,457,737,252.25/31,776
6. Step 6: Final answer
   x = 171,756.59