Finding the Third Proportional to 35,670 and 53,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,670 : 53,406.50 = 53,406.50 : x
2. Step 2: Convert to fraction form
   35,670/53,406.50 = 53,406.50/x
3. Step 3: Cross multiply
   35,670x = 53,406.50 × 53,406.50
4. Step 4: Simplify right side
   35,670x = 2,852,254,242.25
5. Step 5: Solve for x
   x = 2,852,254,242.25/35,670
6. Step 6: Final answer
   x = 79,962.27