Finding the Third Proportional to 35,640 and 52,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,640 : 52,906.50 = 52,906.50 : x
2. Step 2: Convert to fraction form
   35,640/52,906.50 = 52,906.50/x
3. Step 3: Cross multiply
   35,640x = 52,906.50 × 52,906.50
4. Step 4: Simplify right side
   35,640x = 2,799,097,742.25
5. Step 5: Solve for x
   x = 2,799,097,742.25/35,640
6. Step 6: Final answer
   x = 78,538.10