Finding the Third Proportional to 37,852.50 and 78,810

Step by Step Solution

1. Step 1: Write the proportion equation
   37,852.50 : 78,810 = 78,810 : x
2. Step 2: Convert to fraction form
   37,852.50/78,810 = 78,810/x
3. Step 3: Cross multiply
   37,852.50x = 78,810 × 78,810
4. Step 4: Simplify right side
   37,852.50x = 6,211,016,100
5. Step 5: Solve for x
   x = 6,211,016,100/37,852.50
6. Step 6: Final answer
   x = 164,084.70