Finding the Third Proportional to 37,734.50 and 78,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734.50 : 78,569.50 = 78,569.50 : x
2. Step 2: Convert to fraction form
   37,734.50/78,569.50 = 78,569.50/x
3. Step 3: Cross multiply
   37,734.50x = 78,569.50 × 78,569.50
4. Step 4: Simplify right side
   37,734.50x = 6,173,166,330.25
5. Step 5: Solve for x
   x = 6,173,166,330.25/37,734.50
6. Step 6: Final answer
   x = 163,594.76