Finding the Third Proportional to 34,870.50 and 77,490

Step by Step Solution

1. Step 1: Write the proportion equation
   34,870.50 : 77,490 = 77,490 : x
2. Step 2: Convert to fraction form
   34,870.50/77,490 = 77,490/x
3. Step 3: Cross multiply
   34,870.50x = 77,490 × 77,490
4. Step 4: Simplify right side
   34,870.50x = 6,004,700,100
5. Step 5: Solve for x
   x = 6,004,700,100/34,870.50
6. Step 6: Final answer
   x = 172,200