Finding the Third Proportional to 35,484 and 78,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,484 : 78,346.50 = 78,346.50 : x
2. Step 2: Convert to fraction form
   35,484/78,346.50 = 78,346.50/x
3. Step 3: Cross multiply
   35,484x = 78,346.50 × 78,346.50
4. Step 4: Simplify right side
   35,484x = 6,138,174,062.25
5. Step 5: Solve for x
   x = 6,138,174,062.25/35,484
6. Step 6: Final answer
   x = 172,984.28