Finding the Third Proportional to 32,916 and 72,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,916 : 72,082.50 = 72,082.50 : x
2. Step 2: Convert to fraction form
   32,916/72,082.50 = 72,082.50/x
3. Step 3: Cross multiply
   32,916x = 72,082.50 × 72,082.50
4. Step 4: Simplify right side
   32,916x = 5,195,886,806.25
5. Step 5: Solve for x
   x = 5,195,886,806.25/32,916
6. Step 6: Final answer
   x = 157,852.92